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Simplifying 7n + 6(1 + -1n) + -4(1 + n) = 14 7n + (1 * 6 + -1n * 6) + -4(1 + n) = 14 7n + (6 + -6n) + -4(1 + n) = 14 7n + 6 + -6n + (1 * -4 + n * -4) = 14 7n + 6 + -6n + (-4 + -4n) = 14 Reorder the terms: 6 + -4 + 7n + -6n + -4n = 14 Combine like terms: 6 + -4 = 2 2 + 7n + -6n + -4n = 14 Combine like terms: 7n + -6n = 1n 2 + 1n + -4n = 14 Combine like terms: 1n + -4n = -3n 2 + -3n = 14 Solving 2 + -3n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 14 + -2 -3n = 14 + -2 Combine like terms: 14 + -2 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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