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Simplifying -4(n + -4) + 2(n + 4) = 3 + 4n + 3n + -6 Reorder the terms: -4(-4 + n) + 2(n + 4) = 3 + 4n + 3n + -6 (-4 * -4 + n * -4) + 2(n + 4) = 3 + 4n + 3n + -6 (16 + -4n) + 2(n + 4) = 3 + 4n + 3n + -6 Reorder the terms: 16 + -4n + 2(4 + n) = 3 + 4n + 3n + -6 16 + -4n + (4 * 2 + n * 2) = 3 + 4n + 3n + -6 16 + -4n + (8 + 2n) = 3 + 4n + 3n + -6 Reorder the terms: 16 + 8 + -4n + 2n = 3 + 4n + 3n + -6 Combine like terms: 16 + 8 = 24 24 + -4n + 2n = 3 + 4n + 3n + -6 Combine like terms: -4n + 2n = -2n 24 + -2n = 3 + 4n + 3n + -6 Reorder the terms: 24 + -2n = 3 + -6 + 4n + 3n Combine like terms: 3 + -6 = -3 24 + -2n = -3 + 4n + 3n Combine like terms: 4n + 3n = 7n 24 + -2n = -3 + 7n Solving 24 + -2n = -3 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 24 + -2n + -7n = -3 + 7n + -7n Combine like terms: -2n + -7n = -9n 24 + -9n = -3 + 7n + -7n Combine like terms: 7n + -7n = 0 24 + -9n = -3 + 0 24 + -9n = -3 Add '-24' to each side of the equation. 24 + -24 + -9n = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -9n = -3 + -24 -9n = -3 + -24 Combine like terms: -3 + -24 = -27 -9n = -27 Divide each side by '-9'. n = 3 Simplifying n = 3
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