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Simplifying 8 = 7z + -1(3 + -9z) + -2z 8 = 7z + (3 * -1 + -9z * -1) + -2z 8 = 7z + (-3 + 9z) + -2z Reorder the terms: 8 = -3 + 7z + 9z + -2z Combine like terms: 7z + 9z = 16z 8 = -3 + 16z + -2z Combine like terms: 16z + -2z = 14z 8 = -3 + 14z Solving 8 = -3 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 8 + -14z = -3 + 14z + -14z Combine like terms: 14z + -14z = 0 8 + -14z = -3 + 0 8 + -14z = -3 Add '-8' to each side of the equation. 8 + -8 + -14z = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -14z = -3 + -8 -14z = -3 + -8 Combine like terms: -3 + -8 = -11 -14z = -11 Divide each side by '-14'. z = 0.7857142857 Simplifying z = 0.7857142857
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