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Simplifying -40 = 6(n + -3) + 8(7 + -4n) Reorder the terms: -40 = 6(-3 + n) + 8(7 + -4n) -40 = (-3 * 6 + n * 6) + 8(7 + -4n) -40 = (-18 + 6n) + 8(7 + -4n) -40 = -18 + 6n + (7 * 8 + -4n * 8) -40 = -18 + 6n + (56 + -32n) Reorder the terms: -40 = -18 + 56 + 6n + -32n Combine like terms: -18 + 56 = 38 -40 = 38 + 6n + -32n Combine like terms: 6n + -32n = -26n -40 = 38 + -26n Solving -40 = 38 + -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. -40 + 26n = 38 + -26n + 26n Combine like terms: -26n + 26n = 0 -40 + 26n = 38 + 0 -40 + 26n = 38 Add '40' to each side of the equation. -40 + 40 + 26n = 38 + 40 Combine like terms: -40 + 40 = 0 0 + 26n = 38 + 40 26n = 38 + 40 Combine like terms: 38 + 40 = 78 26n = 78 Divide each side by '26'. n = 3 Simplifying n = 3
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