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Simplifying 3(n + -6) = 2 + 2n Reorder the terms: 3(-6 + n) = 2 + 2n (-6 * 3 + n * 3) = 2 + 2n (-18 + 3n) = 2 + 2n Solving -18 + 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. -18 + 3n + -2n = 2 + 2n + -2n Combine like terms: 3n + -2n = 1n -18 + 1n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 -18 + 1n = 2 + 0 -18 + 1n = 2 Add '18' to each side of the equation. -18 + 18 + 1n = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = 2 + 18 1n = 2 + 18 Combine like terms: 2 + 18 = 20 1n = 20 Divide each side by '1'. n = 20 Simplifying n = 20
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