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Simplifying -5(6n + -7) + 4(7n + -4) = 2n + -8 + 1 + -6n Reorder the terms: -5(-7 + 6n) + 4(7n + -4) = 2n + -8 + 1 + -6n (-7 * -5 + 6n * -5) + 4(7n + -4) = 2n + -8 + 1 + -6n (35 + -30n) + 4(7n + -4) = 2n + -8 + 1 + -6n Reorder the terms: 35 + -30n + 4(-4 + 7n) = 2n + -8 + 1 + -6n 35 + -30n + (-4 * 4 + 7n * 4) = 2n + -8 + 1 + -6n 35 + -30n + (-16 + 28n) = 2n + -8 + 1 + -6n Reorder the terms: 35 + -16 + -30n + 28n = 2n + -8 + 1 + -6n Combine like terms: 35 + -16 = 19 19 + -30n + 28n = 2n + -8 + 1 + -6n Combine like terms: -30n + 28n = -2n 19 + -2n = 2n + -8 + 1 + -6n Reorder the terms: 19 + -2n = -8 + 1 + 2n + -6n Combine like terms: -8 + 1 = -7 19 + -2n = -7 + 2n + -6n Combine like terms: 2n + -6n = -4n 19 + -2n = -7 + -4n Solving 19 + -2n = -7 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 19 + -2n + 4n = -7 + -4n + 4n Combine like terms: -2n + 4n = 2n 19 + 2n = -7 + -4n + 4n Combine like terms: -4n + 4n = 0 19 + 2n = -7 + 0 19 + 2n = -7 Add '-19' to each side of the equation. 19 + -19 + 2n = -7 + -19 Combine like terms: 19 + -19 = 0 0 + 2n = -7 + -19 2n = -7 + -19 Combine like terms: -7 + -19 = -26 2n = -26 Divide each side by '2'. n = -13 Simplifying n = -13
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