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Simplifying z + 82 = 43z + -44 Reorder the terms: 82 + z = 43z + -44 Reorder the terms: 82 + z = -44 + 43z Solving 82 + z = -44 + 43z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-43z' to each side of the equation. 82 + z + -43z = -44 + 43z + -43z Combine like terms: z + -43z = -42z 82 + -42z = -44 + 43z + -43z Combine like terms: 43z + -43z = 0 82 + -42z = -44 + 0 82 + -42z = -44 Add '-82' to each side of the equation. 82 + -82 + -42z = -44 + -82 Combine like terms: 82 + -82 = 0 0 + -42z = -44 + -82 -42z = -44 + -82 Combine like terms: -44 + -82 = -126 -42z = -126 Divide each side by '-42'. z = 3 Simplifying z = 3
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