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Simplifying -7n + 17 = 5(4n + -2) Reorder the terms: 17 + -7n = 5(4n + -2) Reorder the terms: 17 + -7n = 5(-2 + 4n) 17 + -7n = (-2 * 5 + 4n * 5) 17 + -7n = (-10 + 20n) Solving 17 + -7n = -10 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 17 + -7n + -20n = -10 + 20n + -20n Combine like terms: -7n + -20n = -27n 17 + -27n = -10 + 20n + -20n Combine like terms: 20n + -20n = 0 17 + -27n = -10 + 0 17 + -27n = -10 Add '-17' to each side of the equation. 17 + -17 + -27n = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -27n = -10 + -17 -27n = -10 + -17 Combine like terms: -10 + -17 = -27 -27n = -27 Divide each side by '-27'. n = 1 Simplifying n = 1
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