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Simplifying 8(r + -2) + -7(r + -1) = 2(r + 4) Reorder the terms: 8(-2 + r) + -7(r + -1) = 2(r + 4) (-2 * 8 + r * 8) + -7(r + -1) = 2(r + 4) (-16 + 8r) + -7(r + -1) = 2(r + 4) Reorder the terms: -16 + 8r + -7(-1 + r) = 2(r + 4) -16 + 8r + (-1 * -7 + r * -7) = 2(r + 4) -16 + 8r + (7 + -7r) = 2(r + 4) Reorder the terms: -16 + 7 + 8r + -7r = 2(r + 4) Combine like terms: -16 + 7 = -9 -9 + 8r + -7r = 2(r + 4) Combine like terms: 8r + -7r = 1r -9 + 1r = 2(r + 4) Reorder the terms: -9 + 1r = 2(4 + r) -9 + 1r = (4 * 2 + r * 2) -9 + 1r = (8 + 2r) Solving -9 + 1r = 8 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -9 + 1r + -2r = 8 + 2r + -2r Combine like terms: 1r + -2r = -1r -9 + -1r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 -9 + -1r = 8 + 0 -9 + -1r = 8 Add '9' to each side of the equation. -9 + 9 + -1r = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -1r = 8 + 9 -1r = 8 + 9 Combine like terms: 8 + 9 = 17 -1r = 17 Divide each side by '-1'. r = -17 Simplifying r = -17
| x^3+6x^2+9+2=0 | | -25=8u+5(u+8) | | 2x-5=70 | | 8(3+0.75)= | | 32n-30n=80 | | 5.75+x=-12.5 | | 10+2x-5=70 | | (4t^2-t-6)(3t^2+4t-1)=0 | | 7d*9=0 | | -90b+7b+99b-(-77)=29 | | sin((sin^-1)(1/4)) | | 5m+6m-20+25=-15m+25 | | (5-x)(9-8x)= | | 10x-7=25x+2 | | -49.654+.022*4.18*(x-100)+40.02+.150*4.184*x=0 | | W+29=47 | | 9p^3+3p^2=0 | | x(3+7)=x(3)+x(7) | | (3-x)(9-7x)= | | 5x^2-4y^2=9 | | 6+2x=4(x+3)-3(x-3) | | F(x)=x^3-16x^2+85x-150 | | 2y-0.5=3y | | 8x+7y=-22 | | 41-w=236 | | 6(y-5)+5(y+5)=51 | | (30+x)+x+5=85 | | 3(z-4)+3=14-(z+3) | | (M+n)2= | | 4(x-4)=14-6(4x+1) | | 1/.16x=.7 | | .022*4.18*(x-100)+.150*4.184*x=-9.634 |