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Simplifying -2 + 5(6z + -3) = 9(5z + -6) + -6 Reorder the terms: -2 + 5(-3 + 6z) = 9(5z + -6) + -6 -2 + (-3 * 5 + 6z * 5) = 9(5z + -6) + -6 -2 + (-15 + 30z) = 9(5z + -6) + -6 Combine like terms: -2 + -15 = -17 -17 + 30z = 9(5z + -6) + -6 Reorder the terms: -17 + 30z = 9(-6 + 5z) + -6 -17 + 30z = (-6 * 9 + 5z * 9) + -6 -17 + 30z = (-54 + 45z) + -6 Reorder the terms: -17 + 30z = -54 + -6 + 45z Combine like terms: -54 + -6 = -60 -17 + 30z = -60 + 45z Solving -17 + 30z = -60 + 45z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45z' to each side of the equation. -17 + 30z + -45z = -60 + 45z + -45z Combine like terms: 30z + -45z = -15z -17 + -15z = -60 + 45z + -45z Combine like terms: 45z + -45z = 0 -17 + -15z = -60 + 0 -17 + -15z = -60 Add '17' to each side of the equation. -17 + 17 + -15z = -60 + 17 Combine like terms: -17 + 17 = 0 0 + -15z = -60 + 17 -15z = -60 + 17 Combine like terms: -60 + 17 = -43 -15z = -43 Divide each side by '-15'. z = 2.866666667 Simplifying z = 2.866666667
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