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Simplifying 30 = -1(5z + 15) + 10z Reorder the terms: 30 = -1(15 + 5z) + 10z 30 = (15 * -1 + 5z * -1) + 10z 30 = (-15 + -5z) + 10z Combine like terms: -5z + 10z = 5z 30 = -15 + 5z Solving 30 = -15 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 30 + -5z = -15 + 5z + -5z Combine like terms: 5z + -5z = 0 30 + -5z = -15 + 0 30 + -5z = -15 Add '-30' to each side of the equation. 30 + -30 + -5z = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -5z = -15 + -30 -5z = -15 + -30 Combine like terms: -15 + -30 = -45 -5z = -45 Divide each side by '-5'. z = 9 Simplifying z = 9
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