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Simplifying 30 = -5(6z + 6) Reorder the terms: 30 = -5(6 + 6z) 30 = (6 * -5 + 6z * -5) 30 = (-30 + -30z) Solving 30 = -30 + -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. 30 + 30z = -30 + -30z + 30z Combine like terms: -30z + 30z = 0 30 + 30z = -30 + 0 30 + 30z = -30 Add '-30' to each side of the equation. 30 + -30 + 30z = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 30z = -30 + -30 30z = -30 + -30 Combine like terms: -30 + -30 = -60 30z = -60 Divide each side by '30'. z = -2 Simplifying z = -2
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