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Simplifying -5(-9z + 1) = 2(8 + 7z) Reorder the terms: -5(1 + -9z) = 2(8 + 7z) (1 * -5 + -9z * -5) = 2(8 + 7z) (-5 + 45z) = 2(8 + 7z) -5 + 45z = (8 * 2 + 7z * 2) -5 + 45z = (16 + 14z) Solving -5 + 45z = 16 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -5 + 45z + -14z = 16 + 14z + -14z Combine like terms: 45z + -14z = 31z -5 + 31z = 16 + 14z + -14z Combine like terms: 14z + -14z = 0 -5 + 31z = 16 + 0 -5 + 31z = 16 Add '5' to each side of the equation. -5 + 5 + 31z = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 31z = 16 + 5 31z = 16 + 5 Combine like terms: 16 + 5 = 21 31z = 21 Divide each side by '31'. z = 0.6774193548 Simplifying z = 0.6774193548
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