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Simplifying -6(n + 4) + -1(7 + -5n) = -2n Reorder the terms: -6(4 + n) + -1(7 + -5n) = -2n (4 * -6 + n * -6) + -1(7 + -5n) = -2n (-24 + -6n) + -1(7 + -5n) = -2n -24 + -6n + (7 * -1 + -5n * -1) = -2n -24 + -6n + (-7 + 5n) = -2n Reorder the terms: -24 + -7 + -6n + 5n = -2n Combine like terms: -24 + -7 = -31 -31 + -6n + 5n = -2n Combine like terms: -6n + 5n = -1n -31 + -1n = -2n Solving -31 + -1n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -31 + -1n + 2n = -2n + 2n Combine like terms: -1n + 2n = 1n -31 + 1n = -2n + 2n Combine like terms: -2n + 2n = 0 -31 + 1n = 0 Add '31' to each side of the equation. -31 + 31 + 1n = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1n = 0 + 31 1n = 0 + 31 Combine like terms: 0 + 31 = 31 1n = 31 Divide each side by '1'. n = 31 Simplifying n = 31
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