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Simplifying 9 + -6z = 12(7z + 7) Reorder the terms: 9 + -6z = 12(7 + 7z) 9 + -6z = (7 * 12 + 7z * 12) 9 + -6z = (84 + 84z) Solving 9 + -6z = 84 + 84z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-84z' to each side of the equation. 9 + -6z + -84z = 84 + 84z + -84z Combine like terms: -6z + -84z = -90z 9 + -90z = 84 + 84z + -84z Combine like terms: 84z + -84z = 0 9 + -90z = 84 + 0 9 + -90z = 84 Add '-9' to each side of the equation. 9 + -9 + -90z = 84 + -9 Combine like terms: 9 + -9 = 0 0 + -90z = 84 + -9 -90z = 84 + -9 Combine like terms: 84 + -9 = 75 -90z = 75 Divide each side by '-90'. z = -0.8333333333 Simplifying z = -0.8333333333
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