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Simplifying 6(n + -3) + -1(2 + -7n) = 12n Reorder the terms: 6(-3 + n) + -1(2 + -7n) = 12n (-3 * 6 + n * 6) + -1(2 + -7n) = 12n (-18 + 6n) + -1(2 + -7n) = 12n -18 + 6n + (2 * -1 + -7n * -1) = 12n -18 + 6n + (-2 + 7n) = 12n Reorder the terms: -18 + -2 + 6n + 7n = 12n Combine like terms: -18 + -2 = -20 -20 + 6n + 7n = 12n Combine like terms: 6n + 7n = 13n -20 + 13n = 12n Solving -20 + 13n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -20 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n -20 + 1n = 12n + -12n Combine like terms: 12n + -12n = 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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