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Simplifying 7(8f + -5(2f + -8)) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Reorder the terms: 7(8f + -5(-8 + 2f)) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 7(8f + (-8 * -5 + 2f * -5)) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 7(8f + (40 + -10f)) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Reorder the terms: 7(40 + 8f + -10f) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Combine like terms: 8f + -10f = -2f 7(40 + -2f) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 (40 * 7 + -2f * 7) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 (280 + -14f) + -1(5 + 4(5f + -9)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Reorder the terms: 280 + -14f + -1(5 + 4(-9 + 5f)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 280 + -14f + -1(5 + (-9 * 4 + 5f * 4)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 280 + -14f + -1(5 + (-36 + 20f)) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Combine like terms: 5 + -36 = -31 280 + -14f + -1(-31 + 20f) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 280 + -14f + (-31 * -1 + 20f * -1) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 280 + -14f + (31 + -20f) + 5(f + 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Reorder the terms: 280 + -14f + 31 + -20f + 5(5 + f) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 280 + -14f + 31 + -20f + (5 * 5 + f * 5) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 280 + -14f + 31 + -20f + (25 + 5f) = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Reorder the terms: 280 + 31 + 25 + -14f + -20f + 5f = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Combine like terms: 280 + 31 = 311 311 + 25 + -14f + -20f + 5f = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Combine like terms: 311 + 25 = 336 336 + -14f + -20f + 5f = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Combine like terms: -14f + -20f = -34f 336 + -34f + 5f = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Combine like terms: -34f + 5f = -29f 336 + -29f = 5(9f + -1(7 + 2(5f + 8)) + 12) + 15 Reorder the terms: 336 + -29f = 5(9f + -1(7 + 2(8 + 5f)) + 12) + 15 336 + -29f = 5(9f + -1(7 + (8 * 2 + 5f * 2)) + 12) + 15 336 + -29f = 5(9f + -1(7 + (16 + 10f)) + 12) + 15 Combine like terms: 7 + 16 = 23 336 + -29f = 5(9f + -1(23 + 10f) + 12) + 15 336 + -29f = 5(9f + (23 * -1 + 10f * -1) + 12) + 15 336 + -29f = 5(9f + (-23 + -10f) + 12) + 15 Reorder the terms: 336 + -29f = 5(-23 + 12 + 9f + -10f) + 15 Combine like terms: -23 + 12 = -11 336 + -29f = 5(-11 + 9f + -10f) + 15 Combine like terms: 9f + -10f = -1f 336 + -29f = 5(-11 + -1f) + 15 336 + -29f = (-11 * 5 + -1f * 5) + 15 336 + -29f = (-55 + -5f) + 15 Reorder the terms: 336 + -29f = -55 + 15 + -5f Combine like terms: -55 + 15 = -40 336 + -29f = -40 + -5f Solving 336 + -29f = -40 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. 336 + -29f + 5f = -40 + -5f + 5f Combine like terms: -29f + 5f = -24f 336 + -24f = -40 + -5f + 5f Combine like terms: -5f + 5f = 0 336 + -24f = -40 + 0 336 + -24f = -40 Add '-336' to each side of the equation. 336 + -336 + -24f = -40 + -336 Combine like terms: 336 + -336 = 0 0 + -24f = -40 + -336 -24f = -40 + -336 Combine like terms: -40 + -336 = -376 -24f = -376 Divide each side by '-24'. f = 15.66666667 Simplifying f = 15.66666667
| X=2-5(1) | | -4-1=-7(w-2) | | 5x-25/5 | | 3x+5=6x-2x | | X=2-5y(0) | | 3(3-w)-(-2)(w-4)=-(2w-4) | | 5a=9a-20 | | 2292/42 | | 12.8=x+(11.8-x)1.19 | | 15x+13=10x+13 | | 3(x-5)=2x+12 | | 1.24r-7=2.5 | | 7c-8-2c=5c | | 3(3-w)-(2)(w-4)=-(2w-4) | | (-9+1)+(-7x+8)= | | 3y^3-23y^2-8=0 | | -5.7x=110.58 | | -3(y+7)=4y | | n-7/2=-2 | | 12x-2=11x+2 | | -31+4x=-5+5(1+5x) | | -4x+10=-4x+10 | | -3(3+5k)=-7(k-1) | | (-4b+15-7k)-(6+4b-2k)= | | (7-3t)-5(1.6t+5)= | | y^2+8y-8x=0 | | 8a=-5a+26 | | 11v-2(1+8v)=-6(v-1) | | 3(5a+2)-a=2(a-3) | | x+(3x-160)=180 | | 0.10+0.15(50-x)=0.12(50) | | -12x+4=8y-6 |