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Simplifying 13 + -5z = -17 + -7z Solving 13 + -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. 13 + -5z + 7z = -17 + -7z + 7z Combine like terms: -5z + 7z = 2z 13 + 2z = -17 + -7z + 7z Combine like terms: -7z + 7z = 0 13 + 2z = -17 + 0 13 + 2z = -17 Add '-13' to each side of the equation. 13 + -13 + 2z = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 2z = -17 + -13 2z = -17 + -13 Combine like terms: -17 + -13 = -30 2z = -30 Divide each side by '2'. z = -15 Simplifying z = -15
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