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Simplifying -6z + 9 = 8z + -1(-2) Reorder the terms: 9 + -6z = 8z + -1(-2) Multiply -1 * -2 9 + -6z = 8z + 2 Reorder the terms: 9 + -6z = 2 + 8z Solving 9 + -6z = 2 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 9 + -6z + -8z = 2 + 8z + -8z Combine like terms: -6z + -8z = -14z 9 + -14z = 2 + 8z + -8z Combine like terms: 8z + -8z = 0 9 + -14z = 2 + 0 9 + -14z = 2 Add '-9' to each side of the equation. 9 + -9 + -14z = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -14z = 2 + -9 -14z = 2 + -9 Combine like terms: 2 + -9 = -7 -14z = -7 Divide each side by '-14'. z = 0.5 Simplifying z = 0.5
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