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Simplifying 9(5z + -3) = 8(2z) Reorder the terms: 9(-3 + 5z) = 8(2z) (-3 * 9 + 5z * 9) = 8(2z) (-27 + 45z) = 8(2z) Remove parenthesis around (2z) -27 + 45z = 8 * 2z Multiply 8 * 2 -27 + 45z = 16z Solving -27 + 45z = 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -27 + 45z + -16z = 16z + -16z Combine like terms: 45z + -16z = 29z -27 + 29z = 16z + -16z Combine like terms: 16z + -16z = 0 -27 + 29z = 0 Add '27' to each side of the equation. -27 + 27 + 29z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 29z = 0 + 27 29z = 0 + 27 Combine like terms: 0 + 27 = 27 29z = 27 Divide each side by '29'. z = 0.9310344828 Simplifying z = 0.9310344828
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