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Simplifying 7(n + 3) + -1(3 + -6n) = 12n Reorder the terms: 7(3 + n) + -1(3 + -6n) = 12n (3 * 7 + n * 7) + -1(3 + -6n) = 12n (21 + 7n) + -1(3 + -6n) = 12n 21 + 7n + (3 * -1 + -6n * -1) = 12n 21 + 7n + (-3 + 6n) = 12n Reorder the terms: 21 + -3 + 7n + 6n = 12n Combine like terms: 21 + -3 = 18 18 + 7n + 6n = 12n Combine like terms: 7n + 6n = 13n 18 + 13n = 12n Solving 18 + 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. 18 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n 18 + 1n = 12n + -12n Combine like terms: 12n + -12n = 0 18 + 1n = 0 Add '-18' to each side of the equation. 18 + -18 + 1n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1n = 0 + -18 1n = 0 + -18 Combine like terms: 0 + -18 = -18 1n = -18 Divide each side by '1'. n = -18 Simplifying n = -18
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