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Simplifying -2n + -8(1 + -3n) = 40 + 6n -2n + (1 * -8 + -3n * -8) = 40 + 6n -2n + (-8 + 24n) = 40 + 6n Reorder the terms: -8 + -2n + 24n = 40 + 6n Combine like terms: -2n + 24n = 22n -8 + 22n = 40 + 6n Solving -8 + 22n = 40 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -8 + 22n + -6n = 40 + 6n + -6n Combine like terms: 22n + -6n = 16n -8 + 16n = 40 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + 16n = 40 + 0 -8 + 16n = 40 Add '8' to each side of the equation. -8 + 8 + 16n = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 16n = 40 + 8 16n = 40 + 8 Combine like terms: 40 + 8 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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