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Simplifying -3 + 9 = -8 + 9(z + 9) Combine like terms: -3 + 9 = 6 6 = -8 + 9(z + 9) Reorder the terms: 6 = -8 + 9(9 + z) 6 = -8 + (9 * 9 + z * 9) 6 = -8 + (81 + 9z) Combine like terms: -8 + 81 = 73 6 = 73 + 9z Solving 6 = 73 + 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. 6 + -9z = 73 + 9z + -9z Combine like terms: 9z + -9z = 0 6 + -9z = 73 + 0 6 + -9z = 73 Add '-6' to each side of the equation. 6 + -6 + -9z = 73 + -6 Combine like terms: 6 + -6 = 0 0 + -9z = 73 + -6 -9z = 73 + -6 Combine like terms: 73 + -6 = 67 -9z = 67 Divide each side by '-9'. z = -7.444444444 Simplifying z = -7.444444444
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