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Simplifying 7(9z + 8) = -24 + 5z Reorder the terms: 7(8 + 9z) = -24 + 5z (8 * 7 + 9z * 7) = -24 + 5z (56 + 63z) = -24 + 5z Solving 56 + 63z = -24 + 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. 56 + 63z + -5z = -24 + 5z + -5z Combine like terms: 63z + -5z = 58z 56 + 58z = -24 + 5z + -5z Combine like terms: 5z + -5z = 0 56 + 58z = -24 + 0 56 + 58z = -24 Add '-56' to each side of the equation. 56 + -56 + 58z = -24 + -56 Combine like terms: 56 + -56 = 0 0 + 58z = -24 + -56 58z = -24 + -56 Combine like terms: -24 + -56 = -80 58z = -80 Divide each side by '58'. z = -1.379310345 Simplifying z = -1.379310345
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