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Simplifying 3(n + -5) + -2(n + 8) = 11 Reorder the terms: 3(-5 + n) + -2(n + 8) = 11 (-5 * 3 + n * 3) + -2(n + 8) = 11 (-15 + 3n) + -2(n + 8) = 11 Reorder the terms: -15 + 3n + -2(8 + n) = 11 -15 + 3n + (8 * -2 + n * -2) = 11 -15 + 3n + (-16 + -2n) = 11 Reorder the terms: -15 + -16 + 3n + -2n = 11 Combine like terms: -15 + -16 = -31 -31 + 3n + -2n = 11 Combine like terms: 3n + -2n = 1n -31 + 1n = 11 Solving -31 + 1n = 11 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1n = 11 + 31 Combine like terms: -31 + 31 = 0 0 + 1n = 11 + 31 1n = 11 + 31 Combine like terms: 11 + 31 = 42 1n = 42 Divide each side by '1'. n = 42 Simplifying n = 42
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