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Simplifying 4(n + 2) + 7n = -8(6n + -1) Reorder the terms: 4(2 + n) + 7n = -8(6n + -1) (2 * 4 + n * 4) + 7n = -8(6n + -1) (8 + 4n) + 7n = -8(6n + -1) Combine like terms: 4n + 7n = 11n 8 + 11n = -8(6n + -1) Reorder the terms: 8 + 11n = -8(-1 + 6n) 8 + 11n = (-1 * -8 + 6n * -8) 8 + 11n = (8 + -48n) Add '-8' to each side of the equation. 8 + -8 + 11n = 8 + -8 + -48n Combine like terms: 8 + -8 = 0 0 + 11n = 8 + -8 + -48n 11n = 8 + -8 + -48n Combine like terms: 8 + -8 = 0 11n = 0 + -48n 11n = -48n Solving 11n = -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 11n + 48n = -48n + 48n Combine like terms: 11n + 48n = 59n 59n = -48n + 48n Combine like terms: -48n + 48n = 0 59n = 0 Divide each side by '59'. n = 0 Simplifying n = 0
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