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Simplifying -29 = 6 + 7(z + 9) Reorder the terms: -29 = 6 + 7(9 + z) -29 = 6 + (9 * 7 + z * 7) -29 = 6 + (63 + 7z) Combine like terms: 6 + 63 = 69 -29 = 69 + 7z Solving -29 = 69 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -29 + -7z = 69 + 7z + -7z Combine like terms: 7z + -7z = 0 -29 + -7z = 69 + 0 -29 + -7z = 69 Add '29' to each side of the equation. -29 + 29 + -7z = 69 + 29 Combine like terms: -29 + 29 = 0 0 + -7z = 69 + 29 -7z = 69 + 29 Combine like terms: 69 + 29 = 98 -7z = 98 Divide each side by '-7'. z = -14 Simplifying z = -14
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