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Simplifying 12z + 5 = 15z + 1414 Reorder the terms: 5 + 12z = 15z + 1414 Reorder the terms: 5 + 12z = 1414 + 15z Solving 5 + 12z = 1414 + 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. 5 + 12z + -15z = 1414 + 15z + -15z Combine like terms: 12z + -15z = -3z 5 + -3z = 1414 + 15z + -15z Combine like terms: 15z + -15z = 0 5 + -3z = 1414 + 0 5 + -3z = 1414 Add '-5' to each side of the equation. 5 + -5 + -3z = 1414 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = 1414 + -5 -3z = 1414 + -5 Combine like terms: 1414 + -5 = 1409 -3z = 1409 Divide each side by '-3'. z = -469.6666667 Simplifying z = -469.6666667
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