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Simplifying 3x + -1 + -1(x + -4) + -1[2(n + -3) + -3(1 + -2x)] = -1n + -2 Reorder the terms: 3x + -1 + -1(-4 + x) + -1[2(n + -3) + -3(1 + -2x)] = -1n + -2 3x + -1 + (-4 * -1 + x * -1) + -1[2(n + -3) + -3(1 + -2x)] = -1n + -2 3x + -1 + (4 + -1x) + -1[2(n + -3) + -3(1 + -2x)] = -1n + -2 Reorder the terms: 3x + -1 + 4 + -1x + -1[2(-3 + n) + -3(1 + -2x)] = -1n + -2 3x + -1 + 4 + -1x + -1[(-3 * 2 + n * 2) + -3(1 + -2x)] = -1n + -2 3x + -1 + 4 + -1x + -1[(-6 + 2n) + -3(1 + -2x)] = -1n + -2 3x + -1 + 4 + -1x + -1[-6 + 2n + (1 * -3 + -2x * -3)] = -1n + -2 3x + -1 + 4 + -1x + -1[-6 + 2n + (-3 + 6x)] = -1n + -2 Reorder the terms: 3x + -1 + 4 + -1x + -1[-6 + -3 + 2n + 6x] = -1n + -2 Combine like terms: -6 + -3 = -9 3x + -1 + 4 + -1x + -1[-9 + 2n + 6x] = -1n + -2 3x + -1 + 4 + -1x + [-9 * -1 + 2n * -1 + 6x * -1] = -1n + -2 3x + -1 + 4 + -1x + [9 + -2n + -6x] = -1n + -2 Reorder the terms: -1 + 4 + 9 + -2n + 3x + -1x + -6x = -1n + -2 Combine like terms: -1 + 4 = 3 3 + 9 + -2n + 3x + -1x + -6x = -1n + -2 Combine like terms: 3 + 9 = 12 12 + -2n + 3x + -1x + -6x = -1n + -2 Combine like terms: 3x + -1x = 2x 12 + -2n + 2x + -6x = -1n + -2 Combine like terms: 2x + -6x = -4x 12 + -2n + -4x = -1n + -2 Reorder the terms: 12 + -2n + -4x = -2 + -1n Solving 12 + -2n + -4x = -2 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 12 + -2n + n + -4x = -2 + -1n + n Combine like terms: -2n + n = -1n 12 + -1n + -4x = -2 + -1n + n Combine like terms: -1n + n = 0 12 + -1n + -4x = -2 + 0 12 + -1n + -4x = -2 Add '-12' to each side of the equation. 12 + -1n + -12 + -4x = -2 + -12 Reorder the terms: 12 + -12 + -1n + -4x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -1n + -4x = -2 + -12 -1n + -4x = -2 + -12 Combine like terms: -2 + -12 = -14 -1n + -4x = -14 Add '4x' to each side of the equation. -1n + -4x + 4x = -14 + 4x Combine like terms: -4x + 4x = 0 -1n + 0 = -14 + 4x -1n = -14 + 4x Divide each side by '-1'. n = 14 + -4x Simplifying n = 14 + -4x
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