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Simplifying 3(4z + -4) + -12(z + 5) = z + -8(z + -5) Reorder the terms: 3(-4 + 4z) + -12(z + 5) = z + -8(z + -5) (-4 * 3 + 4z * 3) + -12(z + 5) = z + -8(z + -5) (-12 + 12z) + -12(z + 5) = z + -8(z + -5) Reorder the terms: -12 + 12z + -12(5 + z) = z + -8(z + -5) -12 + 12z + (5 * -12 + z * -12) = z + -8(z + -5) -12 + 12z + (-60 + -12z) = z + -8(z + -5) Reorder the terms: -12 + -60 + 12z + -12z = z + -8(z + -5) Combine like terms: -12 + -60 = -72 -72 + 12z + -12z = z + -8(z + -5) Combine like terms: 12z + -12z = 0 -72 + 0 = z + -8(z + -5) -72 = z + -8(z + -5) Reorder the terms: -72 = z + -8(-5 + z) -72 = z + (-5 * -8 + z * -8) -72 = z + (40 + -8z) Reorder the terms: -72 = 40 + z + -8z Combine like terms: z + -8z = -7z -72 = 40 + -7z Solving -72 = 40 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -72 + 7z = 40 + -7z + 7z Combine like terms: -7z + 7z = 0 -72 + 7z = 40 + 0 -72 + 7z = 40 Add '72' to each side of the equation. -72 + 72 + 7z = 40 + 72 Combine like terms: -72 + 72 = 0 0 + 7z = 40 + 72 7z = 40 + 72 Combine like terms: 40 + 72 = 112 7z = 112 Divide each side by '7'. z = 16 Simplifying z = 16
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