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Simplifying 5z + -43 = 2z + 80 Reorder the terms: -43 + 5z = 2z + 80 Reorder the terms: -43 + 5z = 80 + 2z Solving -43 + 5z = 80 + 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. -43 + 5z + -2z = 80 + 2z + -2z Combine like terms: 5z + -2z = 3z -43 + 3z = 80 + 2z + -2z Combine like terms: 2z + -2z = 0 -43 + 3z = 80 + 0 -43 + 3z = 80 Add '43' to each side of the equation. -43 + 43 + 3z = 80 + 43 Combine like terms: -43 + 43 = 0 0 + 3z = 80 + 43 3z = 80 + 43 Combine like terms: 80 + 43 = 123 3z = 123 Divide each side by '3'. z = 41 Simplifying z = 41
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