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Simplifying 2(n + -4) + -1(n + 3) = 1 Reorder the terms: 2(-4 + n) + -1(n + 3) = 1 (-4 * 2 + n * 2) + -1(n + 3) = 1 (-8 + 2n) + -1(n + 3) = 1 Reorder the terms: -8 + 2n + -1(3 + n) = 1 -8 + 2n + (3 * -1 + n * -1) = 1 -8 + 2n + (-3 + -1n) = 1 Reorder the terms: -8 + -3 + 2n + -1n = 1 Combine like terms: -8 + -3 = -11 -11 + 2n + -1n = 1 Combine like terms: 2n + -1n = 1n -11 + 1n = 1 Solving -11 + 1n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1n = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 1n = 1 + 11 1n = 1 + 11 Combine like terms: 1 + 11 = 12 1n = 12 Divide each side by '1'. n = 12 Simplifying n = 12
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