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Simplifying -1(n + -4) + 3(n + -2) = 2 Reorder the terms: -1(-4 + n) + 3(n + -2) = 2 (-4 * -1 + n * -1) + 3(n + -2) = 2 (4 + -1n) + 3(n + -2) = 2 Reorder the terms: 4 + -1n + 3(-2 + n) = 2 4 + -1n + (-2 * 3 + n * 3) = 2 4 + -1n + (-6 + 3n) = 2 Reorder the terms: 4 + -6 + -1n + 3n = 2 Combine like terms: 4 + -6 = -2 -2 + -1n + 3n = 2 Combine like terms: -1n + 3n = 2n -2 + 2n = 2 Solving -2 + 2n = 2 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 + 2n = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 2 + 2 2n = 2 + 2 Combine like terms: 2 + 2 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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