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Simplifying 9(z + 1) = -3(5 + 2) Reorder the terms: 9(1 + z) = -3(5 + 2) (1 * 9 + z * 9) = -3(5 + 2) (9 + 9z) = -3(5 + 2) Combine like terms: 5 + 2 = 7 9 + 9z = -3(7) Multiply -3 * 7 9 + 9z = -21 Solving 9 + 9z = -21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9z = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 9z = -21 + -9 9z = -21 + -9 Combine like terms: -21 + -9 = -30 9z = -30 Divide each side by '9'. z = -3.333333333 Simplifying z = -3.333333333
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