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Simplifying 7x + 2[2(1 + -1n) + -2(1 + x)] = 14 7x + 2[(1 * 2 + -1n * 2) + -2(1 + x)] = 14 7x + 2[(2 + -2n) + -2(1 + x)] = 14 7x + 2[2 + -2n + (1 * -2 + x * -2)] = 14 7x + 2[2 + -2n + (-2 + -2x)] = 14 Reorder the terms: 7x + 2[2 + -2 + -2n + -2x] = 14 Combine like terms: 2 + -2 = 0 7x + 2[0 + -2n + -2x] = 14 7x + 2[-2n + -2x] = 14 7x + [-2n * 2 + -2x * 2] = 14 7x + [-4n + -4x] = 14 Reorder the terms: -4n + 7x + -4x = 14 Combine like terms: 7x + -4x = 3x -4n + 3x = 14 Solving -4n + 3x = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3x' to each side of the equation. -4n + 3x + -3x = 14 + -3x Combine like terms: 3x + -3x = 0 -4n + 0 = 14 + -3x -4n = 14 + -3x Divide each side by '-4'. n = -3.5 + 0.75x Simplifying n = -3.5 + 0.75x
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