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Simplifying 186 = 7(-4n + 8) + 2n Reorder the terms: 186 = 7(8 + -4n) + 2n 186 = (8 * 7 + -4n * 7) + 2n 186 = (56 + -28n) + 2n Combine like terms: -28n + 2n = -26n 186 = 56 + -26n Solving 186 = 56 + -26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26n' to each side of the equation. 186 + 26n = 56 + -26n + 26n Combine like terms: -26n + 26n = 0 186 + 26n = 56 + 0 186 + 26n = 56 Add '-186' to each side of the equation. 186 + -186 + 26n = 56 + -186 Combine like terms: 186 + -186 = 0 0 + 26n = 56 + -186 26n = 56 + -186 Combine like terms: 56 + -186 = -130 26n = -130 Divide each side by '26'. n = -5 Simplifying n = -5
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