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Simplifying 3(3n + -2n + -1) = n + 5 Reorder the terms: 3(-1 + 3n + -2n) = n + 5 Combine like terms: 3n + -2n = 1n 3(-1 + 1n) = n + 5 (-1 * 3 + 1n * 3) = n + 5 (-3 + 3n) = n + 5 Reorder the terms: -3 + 3n = 5 + n Solving -3 + 3n = 5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -3 + 3n + -1n = 5 + n + -1n Combine like terms: 3n + -1n = 2n -3 + 2n = 5 + n + -1n Combine like terms: n + -1n = 0 -3 + 2n = 5 + 0 -3 + 2n = 5 Add '3' to each side of the equation. -3 + 3 + 2n = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 5 + 3 2n = 5 + 3 Combine like terms: 5 + 3 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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