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Simplifying 5(n + -2) = 2 + 3n Reorder the terms: 5(-2 + n) = 2 + 3n (-2 * 5 + n * 5) = 2 + 3n (-10 + 5n) = 2 + 3n Solving -10 + 5n = 2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -10 + 5n + -3n = 2 + 3n + -3n Combine like terms: 5n + -3n = 2n -10 + 2n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 2n = 2 + 0 -10 + 2n = 2 Add '10' to each side of the equation. -10 + 10 + 2n = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 2 + 10 2n = 2 + 10 Combine like terms: 2 + 10 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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