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Simplifying -9(3 + 17) = -13 + -14 + 9z Combine like terms: 3 + 17 = 20 -9(20) = -13 + -14 + 9z Multiply -9 * 20 -180 = -13 + -14 + 9z Combine like terms: -13 + -14 = -27 -180 = -27 + 9z Solving -180 = -27 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -180 + -9z = -27 + 9z + -9z Combine like terms: 9z + -9z = 0 -180 + -9z = -27 + 0 -180 + -9z = -27 Add '180' to each side of the equation. -180 + 180 + -9z = -27 + 180 Combine like terms: -180 + 180 = 0 0 + -9z = -27 + 180 -9z = -27 + 180 Combine like terms: -27 + 180 = 153 -9z = 153 Divide each side by '-9'. z = -17 Simplifying z = -17
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