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Simplifying -3(n + 6) + -1(1 + 2n) = -6n Reorder the terms: -3(6 + n) + -1(1 + 2n) = -6n (6 * -3 + n * -3) + -1(1 + 2n) = -6n (-18 + -3n) + -1(1 + 2n) = -6n -18 + -3n + (1 * -1 + 2n * -1) = -6n -18 + -3n + (-1 + -2n) = -6n Reorder the terms: -18 + -1 + -3n + -2n = -6n Combine like terms: -18 + -1 = -19 -19 + -3n + -2n = -6n Combine like terms: -3n + -2n = -5n -19 + -5n = -6n Solving -19 + -5n = -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. -19 + -5n + 6n = -6n + 6n Combine like terms: -5n + 6n = 1n -19 + 1n = -6n + 6n Combine like terms: -6n + 6n = 0 -19 + 1n = 0 Add '19' to each side of the equation. -19 + 19 + 1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1n = 0 + 19 1n = 0 + 19 Combine like terms: 0 + 19 = 19 1n = 19 Divide each side by '1'. n = 19 Simplifying n = 19
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