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Simplifying 7z + 43 = 5z + -15 Reorder the terms: 43 + 7z = 5z + -15 Reorder the terms: 43 + 7z = -15 + 5z Solving 43 + 7z = -15 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 43 + 7z + -5z = -15 + 5z + -5z Combine like terms: 7z + -5z = 2z 43 + 2z = -15 + 5z + -5z Combine like terms: 5z + -5z = 0 43 + 2z = -15 + 0 43 + 2z = -15 Add '-43' to each side of the equation. 43 + -43 + 2z = -15 + -43 Combine like terms: 43 + -43 = 0 0 + 2z = -15 + -43 2z = -15 + -43 Combine like terms: -15 + -43 = -58 2z = -58 Divide each side by '2'. z = -29 Simplifying z = -29
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