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Simplifying 3(n + -6) + -1(2 + -4n) = 6n Reorder the terms: 3(-6 + n) + -1(2 + -4n) = 6n (-6 * 3 + n * 3) + -1(2 + -4n) = 6n (-18 + 3n) + -1(2 + -4n) = 6n -18 + 3n + (2 * -1 + -4n * -1) = 6n -18 + 3n + (-2 + 4n) = 6n Reorder the terms: -18 + -2 + 3n + 4n = 6n Combine like terms: -18 + -2 = -20 -20 + 3n + 4n = 6n Combine like terms: 3n + 4n = 7n -20 + 7n = 6n Solving -20 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -20 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -20 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -20 + 1n = 0 Add '20' to each side of the equation. -20 + 20 + 1n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1n = 0 + 20 1n = 0 + 20 Combine like terms: 0 + 20 = 20 1n = 20 Divide each side by '1'. n = 20 Simplifying n = 20
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