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Simplifying 3z + 12 = 8z + -39 Reorder the terms: 12 + 3z = 8z + -39 Reorder the terms: 12 + 3z = -39 + 8z Solving 12 + 3z = -39 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 12 + 3z + -8z = -39 + 8z + -8z Combine like terms: 3z + -8z = -5z 12 + -5z = -39 + 8z + -8z Combine like terms: 8z + -8z = 0 12 + -5z = -39 + 0 12 + -5z = -39 Add '-12' to each side of the equation. 12 + -12 + -5z = -39 + -12 Combine like terms: 12 + -12 = 0 0 + -5z = -39 + -12 -5z = -39 + -12 Combine like terms: -39 + -12 = -51 -5z = -51 Divide each side by '-5'. z = 10.2 Simplifying z = 10.2
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