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Simplifying 2z + -24 = -29 + 7z Reorder the terms: -24 + 2z = -29 + 7z Solving -24 + 2z = -29 + 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. -24 + 2z + -7z = -29 + 7z + -7z Combine like terms: 2z + -7z = -5z -24 + -5z = -29 + 7z + -7z Combine like terms: 7z + -7z = 0 -24 + -5z = -29 + 0 -24 + -5z = -29 Add '24' to each side of the equation. -24 + 24 + -5z = -29 + 24 Combine like terms: -24 + 24 = 0 0 + -5z = -29 + 24 -5z = -29 + 24 Combine like terms: -29 + 24 = -5 -5z = -5 Divide each side by '-5'. z = 1 Simplifying z = 1
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