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Simplifying 2(8z + 6) = -17 + 9z Reorder the terms: 2(6 + 8z) = -17 + 9z (6 * 2 + 8z * 2) = -17 + 9z (12 + 16z) = -17 + 9z Solving 12 + 16z = -17 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 12 + 16z + -9z = -17 + 9z + -9z Combine like terms: 16z + -9z = 7z 12 + 7z = -17 + 9z + -9z Combine like terms: 9z + -9z = 0 12 + 7z = -17 + 0 12 + 7z = -17 Add '-12' to each side of the equation. 12 + -12 + 7z = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 7z = -17 + -12 7z = -17 + -12 Combine like terms: -17 + -12 = -29 7z = -29 Divide each side by '7'. z = -4.142857143 Simplifying z = -4.142857143
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