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Simplifying 4(5 + 9z) = -31 (5 * 4 + 9z * 4) = -31 (20 + 36z) = -31 Solving 20 + 36z = -31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 36z = -31 + -20 Combine like terms: 20 + -20 = 0 0 + 36z = -31 + -20 36z = -31 + -20 Combine like terms: -31 + -20 = -51 36z = -51 Divide each side by '36'. z = -1.416666667 Simplifying z = -1.416666667
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