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Simplifying -2(4 + 10n) + -9 = -7(2n + -1) + -3n (4 * -2 + 10n * -2) + -9 = -7(2n + -1) + -3n (-8 + -20n) + -9 = -7(2n + -1) + -3n Reorder the terms: -8 + -9 + -20n = -7(2n + -1) + -3n Combine like terms: -8 + -9 = -17 -17 + -20n = -7(2n + -1) + -3n Reorder the terms: -17 + -20n = -7(-1 + 2n) + -3n -17 + -20n = (-1 * -7 + 2n * -7) + -3n -17 + -20n = (7 + -14n) + -3n Combine like terms: -14n + -3n = -17n -17 + -20n = 7 + -17n Solving -17 + -20n = 7 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -17 + -20n + 17n = 7 + -17n + 17n Combine like terms: -20n + 17n = -3n -17 + -3n = 7 + -17n + 17n Combine like terms: -17n + 17n = 0 -17 + -3n = 7 + 0 -17 + -3n = 7 Add '17' to each side of the equation. -17 + 17 + -3n = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -3n = 7 + 17 -3n = 7 + 17 Combine like terms: 7 + 17 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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