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Simplifying 8z + 12 = 15z + 54 Reorder the terms: 12 + 8z = 15z + 54 Reorder the terms: 12 + 8z = 54 + 15z Solving 12 + 8z = 54 + 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. 12 + 8z + -15z = 54 + 15z + -15z Combine like terms: 8z + -15z = -7z 12 + -7z = 54 + 15z + -15z Combine like terms: 15z + -15z = 0 12 + -7z = 54 + 0 12 + -7z = 54 Add '-12' to each side of the equation. 12 + -12 + -7z = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -7z = 54 + -12 -7z = 54 + -12 Combine like terms: 54 + -12 = 42 -7z = 42 Divide each side by '-7'. z = -6 Simplifying z = -6
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