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Simplifying 3z + 7 = 15z + 14 Reorder the terms: 7 + 3z = 15z + 14 Reorder the terms: 7 + 3z = 14 + 15z Solving 7 + 3z = 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. 7 + 3z + -15z = 14 + 15z + -15z Combine like terms: 3z + -15z = -12z 7 + -12z = 14 + 15z + -15z Combine like terms: 15z + -15z = 0 7 + -12z = 14 + 0 7 + -12z = 14 Add '-7' to each side of the equation. 7 + -7 + -12z = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -12z = 14 + -7 -12z = 14 + -7 Combine like terms: 14 + -7 = 7 -12z = 7 Divide each side by '-12'. z = -0.5833333333 Simplifying z = -0.5833333333
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