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Simplifying 6(3z + 5) = -78 Reorder the terms: 6(5 + 3z) = -78 (5 * 6 + 3z * 6) = -78 (30 + 18z) = -78 Solving 30 + 18z = -78 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18z = -78 + -30 Combine like terms: 30 + -30 = 0 0 + 18z = -78 + -30 18z = -78 + -30 Combine like terms: -78 + -30 = -108 18z = -108 Divide each side by '18'. z = -6 Simplifying z = -6
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