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