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Simplifying 5z + -15 = -29 + -2z Reorder the terms: -15 + 5z = -29 + -2z Solving -15 + 5z = -29 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -15 + 5z + 2z = -29 + -2z + 2z Combine like terms: 5z + 2z = 7z -15 + 7z = -29 + -2z + 2z Combine like terms: -2z + 2z = 0 -15 + 7z = -29 + 0 -15 + 7z = -29 Add '15' to each side of the equation. -15 + 15 + 7z = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 7z = -29 + 15 7z = -29 + 15 Combine like terms: -29 + 15 = -14 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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