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Simplifying 26 + 7z = -3(8z + -5) Reorder the terms: 26 + 7z = -3(-5 + 8z) 26 + 7z = (-5 * -3 + 8z * -3) 26 + 7z = (15 + -24z) Solving 26 + 7z = 15 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. 26 + 7z + 24z = 15 + -24z + 24z Combine like terms: 7z + 24z = 31z 26 + 31z = 15 + -24z + 24z Combine like terms: -24z + 24z = 0 26 + 31z = 15 + 0 26 + 31z = 15 Add '-26' to each side of the equation. 26 + -26 + 31z = 15 + -26 Combine like terms: 26 + -26 = 0 0 + 31z = 15 + -26 31z = 15 + -26 Combine like terms: 15 + -26 = -11 31z = -11 Divide each side by '31'. z = -0.3548387097 Simplifying z = -0.3548387097
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