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Simplifying 43 = 7z + -13 Reorder the terms: 43 = -13 + 7z Solving 43 = -13 + 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. 43 + -7z = -13 + 7z + -7z Combine like terms: 7z + -7z = 0 43 + -7z = -13 + 0 43 + -7z = -13 Add '-43' to each side of the equation. 43 + -43 + -7z = -13 + -43 Combine like terms: 43 + -43 = 0 0 + -7z = -13 + -43 -7z = -13 + -43 Combine like terms: -13 + -43 = -56 -7z = -56 Divide each side by '-7'. z = 8 Simplifying z = 8
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