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Simplifying 4(x + 3) + -1(2n + 8) = 0 Reorder the terms: 4(3 + x) + -1(2n + 8) = 0 (3 * 4 + x * 4) + -1(2n + 8) = 0 (12 + 4x) + -1(2n + 8) = 0 Reorder the terms: 12 + 4x + -1(8 + 2n) = 0 12 + 4x + (8 * -1 + 2n * -1) = 0 12 + 4x + (-8 + -2n) = 0 Reorder the terms: 12 + -8 + -2n + 4x = 0 Combine like terms: 12 + -8 = 4 4 + -2n + 4x = 0 Solving 4 + -2n + 4x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2n + -4 + 4x = 0 + -4 Reorder the terms: 4 + -4 + -2n + 4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2n + 4x = 0 + -4 -2n + 4x = 0 + -4 Combine like terms: 0 + -4 = -4 -2n + 4x = -4 Add '-4x' to each side of the equation. -2n + 4x + -4x = -4 + -4x Combine like terms: 4x + -4x = 0 -2n + 0 = -4 + -4x -2n = -4 + -4x Divide each side by '-2'. n = 2 + 2x Simplifying n = 2 + 2x
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