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Simplifying 29(z + -1) = 30z Reorder the terms: 29(-1 + z) = 30z (-1 * 29 + z * 29) = 30z (-29 + 29z) = 30z Solving -29 + 29z = 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. -29 + 29z + -30z = 30z + -30z Combine like terms: 29z + -30z = -1z -29 + -1z = 30z + -30z Combine like terms: 30z + -30z = 0 -29 + -1z = 0 Add '29' to each side of the equation. -29 + 29 + -1z = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1z = 0 + 29 -1z = 0 + 29 Combine like terms: 0 + 29 = 29 -1z = 29 Divide each side by '-1'. z = -29 Simplifying z = -29
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