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Simplifying 5(n + -2) + -8 = 2n Reorder the terms: 5(-2 + n) + -8 = 2n (-2 * 5 + n * 5) + -8 = 2n (-10 + 5n) + -8 = 2n Reorder the terms: -10 + -8 + 5n = 2n Combine like terms: -10 + -8 = -18 -18 + 5n = 2n Solving -18 + 5n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -18 + 5n + -2n = 2n + -2n Combine like terms: 5n + -2n = 3n -18 + 3n = 2n + -2n Combine like terms: 2n + -2n = 0 -18 + 3n = 0 Add '18' to each side of the equation. -18 + 18 + 3n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3n = 0 + 18 3n = 0 + 18 Combine like terms: 0 + 18 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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