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Simplifying 7(8 + 4.5z) = -23.5 (8 * 7 + 4.5z * 7) = -23.5 (56 + 31.5z) = -23.5 Solving 56 + 31.5z = -23.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 31.5z = -23.5 + -56 Combine like terms: 56 + -56 = 0 0 + 31.5z = -23.5 + -56 31.5z = -23.5 + -56 Combine like terms: -23.5 + -56 = -79.5 31.5z = -79.5 Divide each side by '31.5'. z = -2.523809524 Simplifying z = -2.523809524
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