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Simplifying 3z + 9 = 3(5z + -1) Reorder the terms: 9 + 3z = 3(5z + -1) Reorder the terms: 9 + 3z = 3(-1 + 5z) 9 + 3z = (-1 * 3 + 5z * 3) 9 + 3z = (-3 + 15z) Solving 9 + 3z = -3 + 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. 9 + 3z + -15z = -3 + 15z + -15z Combine like terms: 3z + -15z = -12z 9 + -12z = -3 + 15z + -15z Combine like terms: 15z + -15z = 0 9 + -12z = -3 + 0 9 + -12z = -3 Add '-9' to each side of the equation. 9 + -9 + -12z = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -12z = -3 + -9 -12z = -3 + -9 Combine like terms: -3 + -9 = -12 -12z = -12 Divide each side by '-12'. z = 1 Simplifying z = 1
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