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Simplifying -29 + -7z = 32 + 36z Solving -29 + -7z = 32 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. -29 + -7z + -36z = 32 + 36z + -36z Combine like terms: -7z + -36z = -43z -29 + -43z = 32 + 36z + -36z Combine like terms: 36z + -36z = 0 -29 + -43z = 32 + 0 -29 + -43z = 32 Add '29' to each side of the equation. -29 + 29 + -43z = 32 + 29 Combine like terms: -29 + 29 = 0 0 + -43z = 32 + 29 -43z = 32 + 29 Combine like terms: 32 + 29 = 61 -43z = 61 Divide each side by '-43'. z = -1.418604651 Simplifying z = -1.418604651
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