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Simplifying 6(4z + -1) + -4(z + 8) = 5(z + 1) Reorder the terms: 6(-1 + 4z) + -4(z + 8) = 5(z + 1) (-1 * 6 + 4z * 6) + -4(z + 8) = 5(z + 1) (-6 + 24z) + -4(z + 8) = 5(z + 1) Reorder the terms: -6 + 24z + -4(8 + z) = 5(z + 1) -6 + 24z + (8 * -4 + z * -4) = 5(z + 1) -6 + 24z + (-32 + -4z) = 5(z + 1) Reorder the terms: -6 + -32 + 24z + -4z = 5(z + 1) Combine like terms: -6 + -32 = -38 -38 + 24z + -4z = 5(z + 1) Combine like terms: 24z + -4z = 20z -38 + 20z = 5(z + 1) Reorder the terms: -38 + 20z = 5(1 + z) -38 + 20z = (1 * 5 + z * 5) -38 + 20z = (5 + 5z) Solving -38 + 20z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -38 + 20z + -5z = 5 + 5z + -5z Combine like terms: 20z + -5z = 15z -38 + 15z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -38 + 15z = 5 + 0 -38 + 15z = 5 Add '38' to each side of the equation. -38 + 38 + 15z = 5 + 38 Combine like terms: -38 + 38 = 0 0 + 15z = 5 + 38 15z = 5 + 38 Combine like terms: 5 + 38 = 43 15z = 43 Divide each side by '15'. z = 2.866666667 Simplifying z = 2.866666667
| -8+4x=6x+12 | | 7(y-1)=4y-25 | | 19-2c=-11 | | 2-(2x-6)=2(x+7)-2 | | -3y-15=4y+13 | | -5(x+2)+7x=2 | | 5x-3+9=-34 | | 7s-11=17 | | 11x+21=35 | | -2(-4z)=56 | | -2(-4)=56 | | 60x-20x= | | 150=-5(5z) | | 15w+26=42 | | 60x+20x= | | 85-70=34y-37y | | -6m+2m=16-36 | | -10.5=5(1-r)+4(r-3) | | 7=6t-3 | | 5(4z-1)-5(z+5)=4(z+1) | | 4z+16=21 | | 3(7x+35)=63 | | -6p+9+7p=11 | | -6+9-3=2a+3a | | 12x-4y=60 | | -3w+2+4w=-6+8 | | 0.15x+.05(12-x)=.10(18) | | 176=.80x+16 | | 0.18(6)+0.02x=0.06(24+x) | | 49=-6b+9+2b | | y=.80(100)+16 | | y=.80(50)+16 |