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Simplifying 27 + -5z = -9(4z + 3) Reorder the terms: 27 + -5z = -9(3 + 4z) 27 + -5z = (3 * -9 + 4z * -9) 27 + -5z = (-27 + -36z) Solving 27 + -5z = -27 + -36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36z' to each side of the equation. 27 + -5z + 36z = -27 + -36z + 36z Combine like terms: -5z + 36z = 31z 27 + 31z = -27 + -36z + 36z Combine like terms: -36z + 36z = 0 27 + 31z = -27 + 0 27 + 31z = -27 Add '-27' to each side of the equation. 27 + -27 + 31z = -27 + -27 Combine like terms: 27 + -27 = 0 0 + 31z = -27 + -27 31z = -27 + -27 Combine like terms: -27 + -27 = -54 31z = -54 Divide each side by '31'. z = -1.741935484 Simplifying z = -1.741935484
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