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Simplifying 9(z + 1) = -3(5 + z) Reorder the terms: 9(1 + z) = -3(5 + z) (1 * 9 + z * 9) = -3(5 + z) (9 + 9z) = -3(5 + z) 9 + 9z = (5 * -3 + z * -3) 9 + 9z = (-15 + -3z) Solving 9 + 9z = -15 + -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. 9 + 9z + 3z = -15 + -3z + 3z Combine like terms: 9z + 3z = 12z 9 + 12z = -15 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + 12z = -15 + 0 9 + 12z = -15 Add '-9' to each side of the equation. 9 + -9 + 12z = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 12z = -15 + -9 12z = -15 + -9 Combine like terms: -15 + -9 = -24 12z = -24 Divide each side by '12'. z = -2 Simplifying z = -2
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