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Simplifying 6 + 17z + -5 = 7z + 57 + -4z Reorder the terms: 6 + -5 + 17z = 7z + 57 + -4z Combine like terms: 6 + -5 = 1 1 + 17z = 7z + 57 + -4z Reorder the terms: 1 + 17z = 57 + 7z + -4z Combine like terms: 7z + -4z = 3z 1 + 17z = 57 + 3z Solving 1 + 17z = 57 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + 17z + -3z = 57 + 3z + -3z Combine like terms: 17z + -3z = 14z 1 + 14z = 57 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 14z = 57 + 0 1 + 14z = 57 Add '-1' to each side of the equation. 1 + -1 + 14z = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 14z = 57 + -1 14z = 57 + -1 Combine like terms: 57 + -1 = 56 14z = 56 Divide each side by '14'. z = 4 Simplifying z = 4
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