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Simplifying 5z + -7 = 17 + -7z Reorder the terms: -7 + 5z = 17 + -7z Solving -7 + 5z = 17 + -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. -7 + 5z + 7z = 17 + -7z + 7z Combine like terms: 5z + 7z = 12z -7 + 12z = 17 + -7z + 7z Combine like terms: -7z + 7z = 0 -7 + 12z = 17 + 0 -7 + 12z = 17 Add '7' to each side of the equation. -7 + 7 + 12z = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 12z = 17 + 7 12z = 17 + 7 Combine like terms: 17 + 7 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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