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Simplifying 17 + -7z + -8 = -16 + -12z Reorder the terms: 17 + -8 + -7z = -16 + -12z Combine like terms: 17 + -8 = 9 9 + -7z = -16 + -12z Solving 9 + -7z = -16 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 9 + -7z + 12z = -16 + -12z + 12z Combine like terms: -7z + 12z = 5z 9 + 5z = -16 + -12z + 12z Combine like terms: -12z + 12z = 0 9 + 5z = -16 + 0 9 + 5z = -16 Add '-9' to each side of the equation. 9 + -9 + 5z = -16 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = -16 + -9 5z = -16 + -9 Combine like terms: -16 + -9 = -25 5z = -25 Divide each side by '5'. z = -5 Simplifying z = -5
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