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Simplifying 7z + -29 = -13 + 9z Reorder the terms: -29 + 7z = -13 + 9z Solving -29 + 7z = -13 + 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. -29 + 7z + -9z = -13 + 9z + -9z Combine like terms: 7z + -9z = -2z -29 + -2z = -13 + 9z + -9z Combine like terms: 9z + -9z = 0 -29 + -2z = -13 + 0 -29 + -2z = -13 Add '29' to each side of the equation. -29 + 29 + -2z = -13 + 29 Combine like terms: -29 + 29 = 0 0 + -2z = -13 + 29 -2z = -13 + 29 Combine like terms: -13 + 29 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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