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Simplifying 3z + 5 = 12z + 14 Reorder the terms: 5 + 3z = 12z + 14 Reorder the terms: 5 + 3z = 14 + 12z Solving 5 + 3z = 14 + 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. 5 + 3z + -12z = 14 + 12z + -12z Combine like terms: 3z + -12z = -9z 5 + -9z = 14 + 12z + -12z Combine like terms: 12z + -12z = 0 5 + -9z = 14 + 0 5 + -9z = 14 Add '-5' to each side of the equation. 5 + -5 + -9z = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -9z = 14 + -5 -9z = 14 + -5 Combine like terms: 14 + -5 = 9 -9z = 9 Divide each side by '-9'. z = -1 Simplifying z = -1
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