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Simplifying 49 = -3(-2n + 8) + 5(-7 + 6n) Reorder the terms: 49 = -3(8 + -2n) + 5(-7 + 6n) 49 = (8 * -3 + -2n * -3) + 5(-7 + 6n) 49 = (-24 + 6n) + 5(-7 + 6n) 49 = -24 + 6n + (-7 * 5 + 6n * 5) 49 = -24 + 6n + (-35 + 30n) Reorder the terms: 49 = -24 + -35 + 6n + 30n Combine like terms: -24 + -35 = -59 49 = -59 + 6n + 30n Combine like terms: 6n + 30n = 36n 49 = -59 + 36n Solving 49 = -59 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 49 + -36n = -59 + 36n + -36n Combine like terms: 36n + -36n = 0 49 + -36n = -59 + 0 49 + -36n = -59 Add '-49' to each side of the equation. 49 + -49 + -36n = -59 + -49 Combine like terms: 49 + -49 = 0 0 + -36n = -59 + -49 -36n = -59 + -49 Combine like terms: -59 + -49 = -108 -36n = -108 Divide each side by '-36'. n = 3 Simplifying n = 3
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