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Simplifying 12z + -14 = 3z + 13 Reorder the terms: -14 + 12z = 3z + 13 Reorder the terms: -14 + 12z = 13 + 3z Solving -14 + 12z = 13 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -14 + 12z + -3z = 13 + 3z + -3z Combine like terms: 12z + -3z = 9z -14 + 9z = 13 + 3z + -3z Combine like terms: 3z + -3z = 0 -14 + 9z = 13 + 0 -14 + 9z = 13 Add '14' to each side of the equation. -14 + 14 + 9z = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 9z = 13 + 14 9z = 13 + 14 Combine like terms: 13 + 14 = 27 9z = 27 Divide each side by '9'. z = 3 Simplifying z = 3
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