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Simplifying 3(8z + 8) = -7z + 6 Reorder the terms: 3(8 + 8z) = -7z + 6 (8 * 3 + 8z * 3) = -7z + 6 (24 + 24z) = -7z + 6 Reorder the terms: 24 + 24z = 6 + -7z Solving 24 + 24z = 6 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 24 + 24z + 7z = 6 + -7z + 7z Combine like terms: 24z + 7z = 31z 24 + 31z = 6 + -7z + 7z Combine like terms: -7z + 7z = 0 24 + 31z = 6 + 0 24 + 31z = 6 Add '-24' to each side of the equation. 24 + -24 + 31z = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 31z = 6 + -24 31z = 6 + -24 Combine like terms: 6 + -24 = -18 31z = -18 Divide each side by '31'. z = -0.5806451613 Simplifying z = -0.5806451613
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