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Simplifying 5z + -43 = z + 80 Reorder the terms: -43 + 5z = z + 80 Reorder the terms: -43 + 5z = 80 + z Solving -43 + 5z = 80 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -43 + 5z + -1z = 80 + z + -1z Combine like terms: 5z + -1z = 4z -43 + 4z = 80 + z + -1z Combine like terms: z + -1z = 0 -43 + 4z = 80 + 0 -43 + 4z = 80 Add '43' to each side of the equation. -43 + 43 + 4z = 80 + 43 Combine like terms: -43 + 43 = 0 0 + 4z = 80 + 43 4z = 80 + 43 Combine like terms: 80 + 43 = 123 4z = 123 Divide each side by '4'. z = 30.75 Simplifying z = 30.75
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