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Simplifying 20z + (-20z) + -7z + -1(-17z) + -5z + -1(-17) = -8 Remove parenthesis around (-17z) 20z + (-20z) + -7z + -1 * -17z + -5z + -1(-17) = -8 Multiply -1 * -17 20z + (-20z) + -7z + 17z + -5z + -1(-17) = -8 Multiply -1 * -17 20z + (-20z) + -7z + 17z + -5z + 17 = -8 Reorder the terms: 17 + 20z + (-20z) + -7z + 17z + -5z = -8 Combine like terms: 20z + (-20z) = 0 17 + 0 + -7z + 17z + -5z = -8 17 + -7z + 17z + -5z = -8 Combine like terms: -7z + 17z = 10z 17 + 10z + -5z = -8 Combine like terms: 10z + -5z = 5z 17 + 5z = -8 Solving 17 + 5z = -8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5z = -8 + -17 Combine like terms: 17 + -17 = 0 0 + 5z = -8 + -17 5z = -8 + -17 Combine like terms: -8 + -17 = -25 5z = -25 Divide each side by '5'. z = -5 Simplifying z = -5
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