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Simplifying 17 + -3 = 6z + 5 + z + 2 Combine like terms: 17 + -3 = 14 14 = 6z + 5 + z + 2 Reorder the terms: 14 = 5 + 2 + 6z + z Combine like terms: 5 + 2 = 7 14 = 7 + 6z + z Combine like terms: 6z + z = 7z 14 = 7 + 7z Solving 14 = 7 + 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. 14 + -7z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 14 + -7z = 7 + 0 14 + -7z = 7 Add '-14' to each side of the equation. 14 + -14 + -7z = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -7z = 7 + -14 -7z = 7 + -14 Combine like terms: 7 + -14 = -7 -7z = -7 Divide each side by '-7'. z = 1 Simplifying z = 1
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