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Simplifying 67 = -5(n + -4) + -8(4n + 8) Reorder the terms: 67 = -5(-4 + n) + -8(4n + 8) 67 = (-4 * -5 + n * -5) + -8(4n + 8) 67 = (20 + -5n) + -8(4n + 8) Reorder the terms: 67 = 20 + -5n + -8(8 + 4n) 67 = 20 + -5n + (8 * -8 + 4n * -8) 67 = 20 + -5n + (-64 + -32n) Reorder the terms: 67 = 20 + -64 + -5n + -32n Combine like terms: 20 + -64 = -44 67 = -44 + -5n + -32n Combine like terms: -5n + -32n = -37n 67 = -44 + -37n Solving 67 = -44 + -37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37n' to each side of the equation. 67 + 37n = -44 + -37n + 37n Combine like terms: -37n + 37n = 0 67 + 37n = -44 + 0 67 + 37n = -44 Add '-67' to each side of the equation. 67 + -67 + 37n = -44 + -67 Combine like terms: 67 + -67 = 0 0 + 37n = -44 + -67 37n = -44 + -67 Combine like terms: -44 + -67 = -111 37n = -111 Divide each side by '37'. n = -3 Simplifying n = -3
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