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Simplifying 3(z + 1) = -3z + 9 Reorder the terms: 3(1 + z) = -3z + 9 (1 * 3 + z * 3) = -3z + 9 (3 + 3z) = -3z + 9 Reorder the terms: 3 + 3z = 9 + -3z Solving 3 + 3z = 9 + -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. 3 + 3z + 3z = 9 + -3z + 3z Combine like terms: 3z + 3z = 6z 3 + 6z = 9 + -3z + 3z Combine like terms: -3z + 3z = 0 3 + 6z = 9 + 0 3 + 6z = 9 Add '-3' to each side of the equation. 3 + -3 + 6z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 9 + -3 6z = 9 + -3 Combine like terms: 9 + -3 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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