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Simplifying 3(n + -2) = 5n + 2 Reorder the terms: 3(-2 + n) = 5n + 2 (-2 * 3 + n * 3) = 5n + 2 (-6 + 3n) = 5n + 2 Reorder the terms: -6 + 3n = 2 + 5n Solving -6 + 3n = 2 + 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. -6 + 3n + -5n = 2 + 5n + -5n Combine like terms: 3n + -5n = -2n -6 + -2n = 2 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + -2n = 2 + 0 -6 + -2n = 2 Add '6' to each side of the equation. -6 + 6 + -2n = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 2 + 6 -2n = 2 + 6 Combine like terms: 2 + 6 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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