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Simplifying 5(4z + -1) + -5(z + 6) = 12(z + 1) Reorder the terms: 5(-1 + 4z) + -5(z + 6) = 12(z + 1) (-1 * 5 + 4z * 5) + -5(z + 6) = 12(z + 1) (-5 + 20z) + -5(z + 6) = 12(z + 1) Reorder the terms: -5 + 20z + -5(6 + z) = 12(z + 1) -5 + 20z + (6 * -5 + z * -5) = 12(z + 1) -5 + 20z + (-30 + -5z) = 12(z + 1) Reorder the terms: -5 + -30 + 20z + -5z = 12(z + 1) Combine like terms: -5 + -30 = -35 -35 + 20z + -5z = 12(z + 1) Combine like terms: 20z + -5z = 15z -35 + 15z = 12(z + 1) Reorder the terms: -35 + 15z = 12(1 + z) -35 + 15z = (1 * 12 + z * 12) -35 + 15z = (12 + 12z) Solving -35 + 15z = 12 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -35 + 15z + -12z = 12 + 12z + -12z Combine like terms: 15z + -12z = 3z -35 + 3z = 12 + 12z + -12z Combine like terms: 12z + -12z = 0 -35 + 3z = 12 + 0 -35 + 3z = 12 Add '35' to each side of the equation. -35 + 35 + 3z = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 3z = 12 + 35 3z = 12 + 35 Combine like terms: 12 + 35 = 47 3z = 47 Divide each side by '3'. z = 15.66666667 Simplifying z = 15.66666667
| 4x-15=7x | | 6x+27=3x | | 1.25x-.125=.25 | | 10n-120=30 | | .833333333t-1=9 | | 10n-120=130 | | 6x+7=3x-21 | | 120-10n=130 | | 5.285714286m-0.9=0.8m | | 3x^3-6x^2-15x=0 | | 2m+31=85-4m | | 9x-10=90 | | 4o-3=20 | | -2(3n+1)=12 | | 3o+4=20 | | 3o-4=20 | | 5(x-6)+8=7x-8 | | 4(x-5)=-42 | | 3g^2-7g+2= | | 8n+110=50 | | -9(x+1)=18 | | -6(x-1)=12 | | 0=-4t^4+32t | | x-2=52 | | 6n-14=4n+6 | | x+2=57 | | 3(b-4)=-6 | | 20=14+3x+24 | | x^2+16=12x | | 2+24r=57 | | 0.625+0.4375q=0.75+0.25q | | -5(a+7)=5 |