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Simplifying 12z + 15 = 15z + 14 Reorder the terms: 15 + 12z = 15z + 14 Reorder the terms: 15 + 12z = 14 + 15z Solving 15 + 12z = 14 + 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. 15 + 12z + -15z = 14 + 15z + -15z Combine like terms: 12z + -15z = -3z 15 + -3z = 14 + 15z + -15z Combine like terms: 15z + -15z = 0 15 + -3z = 14 + 0 15 + -3z = 14 Add '-15' to each side of the equation. 15 + -15 + -3z = 14 + -15 Combine like terms: 15 + -15 = 0 0 + -3z = 14 + -15 -3z = 14 + -15 Combine like terms: 14 + -15 = -1 -3z = -1 Divide each side by '-3'. z = 0.3333333333 Simplifying z = 0.3333333333
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