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Simplifying n + 2(n + -5) = 2n + 2 Reorder the terms: n + 2(-5 + n) = 2n + 2 n + (-5 * 2 + n * 2) = 2n + 2 n + (-10 + 2n) = 2n + 2 Reorder the terms: -10 + n + 2n = 2n + 2 Combine like terms: n + 2n = 3n -10 + 3n = 2n + 2 Reorder the terms: -10 + 3n = 2 + 2n Solving -10 + 3n = 2 + 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. -10 + 3n + -2n = 2 + 2n + -2n Combine like terms: 3n + -2n = 1n -10 + 1n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 1n = 2 + 0 -10 + 1n = 2 Add '10' to each side of the equation. -10 + 10 + 1n = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1n = 2 + 10 1n = 2 + 10 Combine like terms: 2 + 10 = 12 1n = 12 Divide each side by '1'. n = 12 Simplifying n = 12
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