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Simplifying 2(n + -3) + (n + 1) = 40 Reorder the terms: 2(-3 + n) + (n + 1) = 40 (-3 * 2 + n * 2) + (n + 1) = 40 (-6 + 2n) + (n + 1) = 40 Reorder the terms: -6 + 2n + (1 + n) = 40 Remove parenthesis around (1 + n) -6 + 2n + 1 + n = 40 Reorder the terms: -6 + 1 + 2n + n = 40 Combine like terms: -6 + 1 = -5 -5 + 2n + n = 40 Combine like terms: 2n + n = 3n -5 + 3n = 40 Solving -5 + 3n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3n = 40 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 40 + 5 3n = 40 + 5 Combine like terms: 40 + 5 = 45 3n = 45 Divide each side by '3'. n = 15 Simplifying n = 15
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