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Simplifying 5(9z + 6) = 9(z + -2) Reorder the terms: 5(6 + 9z) = 9(z + -2) (6 * 5 + 9z * 5) = 9(z + -2) (30 + 45z) = 9(z + -2) Reorder the terms: 30 + 45z = 9(-2 + z) 30 + 45z = (-2 * 9 + z * 9) 30 + 45z = (-18 + 9z) Solving 30 + 45z = -18 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 30 + 45z + -9z = -18 + 9z + -9z Combine like terms: 45z + -9z = 36z 30 + 36z = -18 + 9z + -9z Combine like terms: 9z + -9z = 0 30 + 36z = -18 + 0 30 + 36z = -18 Add '-30' to each side of the equation. 30 + -30 + 36z = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 36z = -18 + -30 36z = -18 + -30 Combine like terms: -18 + -30 = -48 36z = -48 Divide each side by '36'. z = -1.333333333 Simplifying z = -1.333333333
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