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Simplifying 13 + -7z + -17 = 7z + 23 + -5z Reorder the terms: 13 + -17 + -7z = 7z + 23 + -5z Combine like terms: 13 + -17 = -4 -4 + -7z = 7z + 23 + -5z Reorder the terms: -4 + -7z = 23 + 7z + -5z Combine like terms: 7z + -5z = 2z -4 + -7z = 23 + 2z Solving -4 + -7z = 23 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -4 + -7z + -2z = 23 + 2z + -2z Combine like terms: -7z + -2z = -9z -4 + -9z = 23 + 2z + -2z Combine like terms: 2z + -2z = 0 -4 + -9z = 23 + 0 -4 + -9z = 23 Add '4' to each side of the equation. -4 + 4 + -9z = 23 + 4 Combine like terms: -4 + 4 = 0 0 + -9z = 23 + 4 -9z = 23 + 4 Combine like terms: 23 + 4 = 27 -9z = 27 Divide each side by '-9'. z = -3 Simplifying z = -3
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