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Simplifying 7n + [3(1 + -1n) + -2(1 + 2)] = 14 7n + [(1 * 3 + -1n * 3) + -2(1 + 2)] = 14 7n + [(3 + -3n) + -2(1 + 2)] = 14 Combine like terms: 1 + 2 = 3 7n + [3 + -3n + -2(3)] = 14 Multiply -2 * 3 7n + [3 + -3n + -6] = 14 Reorder the terms: 7n + [3 + -6 + -3n] = 14 Combine like terms: 3 + -6 = -3 7n + [-3 + -3n] = 14 Remove brackets around [-3 + -3n] 7n + -3 + -3n = 14 Reorder the terms: -3 + 7n + -3n = 14 Combine like terms: 7n + -3n = 4n -3 + 4n = 14 Solving -3 + 4n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4n = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 4n = 14 + 3 4n = 14 + 3 Combine like terms: 14 + 3 = 17 4n = 17 Divide each side by '4'. n = 4.25 Simplifying n = 4.25
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