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Simplifying 8 + 8(4z + 5) + -1z = 0 Reorder the terms: 8 + 8(5 + 4z) + -1z = 0 8 + (5 * 8 + 4z * 8) + -1z = 0 8 + (40 + 32z) + -1z = 0 Combine like terms: 8 + 40 = 48 48 + 32z + -1z = 0 Combine like terms: 32z + -1z = 31z 48 + 31z = 0 Solving 48 + 31z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 31z = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 31z = 0 + -48 31z = 0 + -48 Combine like terms: 0 + -48 = -48 31z = -48 Divide each side by '31'. z = -1.548387097 Simplifying z = -1.548387097
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