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Simplifying 32 = 12 + 5(z + -1) Reorder the terms: 32 = 12 + 5(-1 + z) 32 = 12 + (-1 * 5 + z * 5) 32 = 12 + (-5 + 5z) Combine like terms: 12 + -5 = 7 32 = 7 + 5z Solving 32 = 7 + 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. 32 + -5z = 7 + 5z + -5z Combine like terms: 5z + -5z = 0 32 + -5z = 7 + 0 32 + -5z = 7 Add '-32' to each side of the equation. 32 + -32 + -5z = 7 + -32 Combine like terms: 32 + -32 = 0 0 + -5z = 7 + -32 -5z = 7 + -32 Combine like terms: 7 + -32 = -25 -5z = -25 Divide each side by '-5'. z = 5 Simplifying z = 5
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