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Simplifying -4 + 6(5z + 3) = -1(z + 4) + -5 Reorder the terms: -4 + 6(3 + 5z) = -1(z + 4) + -5 -4 + (3 * 6 + 5z * 6) = -1(z + 4) + -5 -4 + (18 + 30z) = -1(z + 4) + -5 Combine like terms: -4 + 18 = 14 14 + 30z = -1(z + 4) + -5 Reorder the terms: 14 + 30z = -1(4 + z) + -5 14 + 30z = (4 * -1 + z * -1) + -5 14 + 30z = (-4 + -1z) + -5 Reorder the terms: 14 + 30z = -4 + -5 + -1z Combine like terms: -4 + -5 = -9 14 + 30z = -9 + -1z Solving 14 + 30z = -9 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 14 + 30z + z = -9 + -1z + z Combine like terms: 30z + z = 31z 14 + 31z = -9 + -1z + z Combine like terms: -1z + z = 0 14 + 31z = -9 + 0 14 + 31z = -9 Add '-14' to each side of the equation. 14 + -14 + 31z = -9 + -14 Combine like terms: 14 + -14 = 0 0 + 31z = -9 + -14 31z = -9 + -14 Combine like terms: -9 + -14 = -23 31z = -23 Divide each side by '31'. z = -0.7419354839 Simplifying z = -0.7419354839
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