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Simplifying 5(4z + -1) + -2(z + 6) = 15(z + 1) Reorder the terms: 5(-1 + 4z) + -2(z + 6) = 15(z + 1) (-1 * 5 + 4z * 5) + -2(z + 6) = 15(z + 1) (-5 + 20z) + -2(z + 6) = 15(z + 1) Reorder the terms: -5 + 20z + -2(6 + z) = 15(z + 1) -5 + 20z + (6 * -2 + z * -2) = 15(z + 1) -5 + 20z + (-12 + -2z) = 15(z + 1) Reorder the terms: -5 + -12 + 20z + -2z = 15(z + 1) Combine like terms: -5 + -12 = -17 -17 + 20z + -2z = 15(z + 1) Combine like terms: 20z + -2z = 18z -17 + 18z = 15(z + 1) Reorder the terms: -17 + 18z = 15(1 + z) -17 + 18z = (1 * 15 + z * 15) -17 + 18z = (15 + 15z) Solving -17 + 18z = 15 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -17 + 18z + -15z = 15 + 15z + -15z Combine like terms: 18z + -15z = 3z -17 + 3z = 15 + 15z + -15z Combine like terms: 15z + -15z = 0 -17 + 3z = 15 + 0 -17 + 3z = 15 Add '17' to each side of the equation. -17 + 17 + 3z = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 3z = 15 + 17 3z = 15 + 17 Combine like terms: 15 + 17 = 32 3z = 32 Divide each side by '3'. z = 10.66666667 Simplifying z = 10.66666667
| 1.5w+.7=2.5(w+1.2) | | 30+20-2= | | 6-9x-3=-98+7x-11 | | 3.5r+64=r | | 2/5=n/6.5 | | y=-1/4x-3 | | 4z-7=25 | | 8r=12+20r | | 3x+20=9x-100 | | 3.5r+8=r | | 20+30-2= | | 63z-32z=1 | | -y=12-4c | | 10x+3-8x+19=11 | | 61+4x^2+9y^2+16x-18y=36z^2 | | 7x=6(x+5) | | 9-4x=10x-16 | | 2(2x-5)(2x-1)=0 | | r/-7-(-5)=-6 | | (x-6)(x-14)=240 | | 6y+27=-3(y-3) | | -2m+9-8(m-1)=8m-(4m-4)-9m+3 | | 4x+1=x^2+20+100 | | 2w^2-2w=35 | | 200*200*400= | | 2p-2(3-4p)=5(p-2)-36 | | 6=3(t-4)+t | | 16x^2+8x+1=x+10 | | 200+200+400= | | 10x+3+8x+19=11 | | x+3/5=11/15 | | 8n+3n=9+12 |