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