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Simplifying 3 = 12 + 5z + -14 Reorder the terms: 3 = 12 + -14 + 5z Combine like terms: 12 + -14 = -2 3 = -2 + 5z Solving 3 = -2 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + -5z = -2 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + -5z = -2 + 0 3 + -5z = -2 Add '-3' to each side of the equation. 3 + -3 + -5z = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = -2 + -3 -5z = -2 + -3 Combine like terms: -2 + -3 = -5 -5z = -5 Divide each side by '-5'. z = 1 Simplifying z = 1
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