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Simplifying 5z + 3 = 12z + 12 Reorder the terms: 3 + 5z = 12z + 12 Reorder the terms: 3 + 5z = 12 + 12z Solving 3 + 5z = 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. 3 + 5z + -12z = 12 + 12z + -12z Combine like terms: 5z + -12z = -7z 3 + -7z = 12 + 12z + -12z Combine like terms: 12z + -12z = 0 3 + -7z = 12 + 0 3 + -7z = 12 Add '-3' to each side of the equation. 3 + -3 + -7z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 12 + -3 -7z = 12 + -3 Combine like terms: 12 + -3 = 9 -7z = 9 Divide each side by '-7'. z = -1.285714286 Simplifying z = -1.285714286
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