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Simplifying 6(8z + 4) = -39 + -5z Reorder the terms: 6(4 + 8z) = -39 + -5z (4 * 6 + 8z * 6) = -39 + -5z (24 + 48z) = -39 + -5z Solving 24 + 48z = -39 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 24 + 48z + 5z = -39 + -5z + 5z Combine like terms: 48z + 5z = 53z 24 + 53z = -39 + -5z + 5z Combine like terms: -5z + 5z = 0 24 + 53z = -39 + 0 24 + 53z = -39 Add '-24' to each side of the equation. 24 + -24 + 53z = -39 + -24 Combine like terms: 24 + -24 = 0 0 + 53z = -39 + -24 53z = -39 + -24 Combine like terms: -39 + -24 = -63 53z = -63 Divide each side by '53'. z = -1.188679245 Simplifying z = -1.188679245
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