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Simplifying -29 = -7 + 3(z + 9) Reorder the terms: -29 = -7 + 3(9 + z) -29 = -7 + (9 * 3 + z * 3) -29 = -7 + (27 + 3z) Combine like terms: -7 + 27 = 20 -29 = 20 + 3z Solving -29 = 20 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -29 + -3z = 20 + 3z + -3z Combine like terms: 3z + -3z = 0 -29 + -3z = 20 + 0 -29 + -3z = 20 Add '29' to each side of the equation. -29 + 29 + -3z = 20 + 29 Combine like terms: -29 + 29 = 0 0 + -3z = 20 + 29 -3z = 20 + 29 Combine like terms: 20 + 29 = 49 -3z = 49 Divide each side by '-3'. z = -16.33333333 Simplifying z = -16.33333333
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