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Simplifying 5z + -43 = 4z + 65 Reorder the terms: -43 + 5z = 4z + 65 Reorder the terms: -43 + 5z = 65 + 4z Solving -43 + 5z = 65 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -43 + 5z + -4z = 65 + 4z + -4z Combine like terms: 5z + -4z = 1z -43 + 1z = 65 + 4z + -4z Combine like terms: 4z + -4z = 0 -43 + 1z = 65 + 0 -43 + 1z = 65 Add '43' to each side of the equation. -43 + 43 + 1z = 65 + 43 Combine like terms: -43 + 43 = 0 0 + 1z = 65 + 43 1z = 65 + 43 Combine like terms: 65 + 43 = 108 1z = 108 Divide each side by '1'. z = 108 Simplifying z = 108
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