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Simplifying 27 + -6z = -5(7z + -9) Reorder the terms: 27 + -6z = -5(-9 + 7z) 27 + -6z = (-9 * -5 + 7z * -5) 27 + -6z = (45 + -35z) Solving 27 + -6z = 45 + -35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35z' to each side of the equation. 27 + -6z + 35z = 45 + -35z + 35z Combine like terms: -6z + 35z = 29z 27 + 29z = 45 + -35z + 35z Combine like terms: -35z + 35z = 0 27 + 29z = 45 + 0 27 + 29z = 45 Add '-27' to each side of the equation. 27 + -27 + 29z = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 29z = 45 + -27 29z = 45 + -27 Combine like terms: 45 + -27 = 18 29z = 18 Divide each side by '29'. z = 0.6206896552 Simplifying z = 0.6206896552
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