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Simplifying -8(-1z + -15) + -8 = 3(5z + 14) Reorder the terms: -8(-15 + -1z) + -8 = 3(5z + 14) (-15 * -8 + -1z * -8) + -8 = 3(5z + 14) (120 + 8z) + -8 = 3(5z + 14) Reorder the terms: 120 + -8 + 8z = 3(5z + 14) Combine like terms: 120 + -8 = 112 112 + 8z = 3(5z + 14) Reorder the terms: 112 + 8z = 3(14 + 5z) 112 + 8z = (14 * 3 + 5z * 3) 112 + 8z = (42 + 15z) Solving 112 + 8z = 42 + 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. 112 + 8z + -15z = 42 + 15z + -15z Combine like terms: 8z + -15z = -7z 112 + -7z = 42 + 15z + -15z Combine like terms: 15z + -15z = 0 112 + -7z = 42 + 0 112 + -7z = 42 Add '-112' to each side of the equation. 112 + -112 + -7z = 42 + -112 Combine like terms: 112 + -112 = 0 0 + -7z = 42 + -112 -7z = 42 + -112 Combine like terms: 42 + -112 = -70 -7z = -70 Divide each side by '-7'. z = 10 Simplifying z = 10
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