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Simplifying 9 + -5z = 9 + -2(6z + 7) Reorder the terms: 9 + -5z = 9 + -2(7 + 6z) 9 + -5z = 9 + (7 * -2 + 6z * -2) 9 + -5z = 9 + (-14 + -12z) Combine like terms: 9 + -14 = -5 9 + -5z = -5 + -12z Solving 9 + -5z = -5 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 9 + -5z + 12z = -5 + -12z + 12z Combine like terms: -5z + 12z = 7z 9 + 7z = -5 + -12z + 12z Combine like terms: -12z + 12z = 0 9 + 7z = -5 + 0 9 + 7z = -5 Add '-9' to each side of the equation. 9 + -9 + 7z = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = -5 + -9 7z = -5 + -9 Combine like terms: -5 + -9 = -14 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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