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Simplifying 2 + 6(2n + -3) = -1(1 + -5n) + -1 Reorder the terms: 2 + 6(-3 + 2n) = -1(1 + -5n) + -1 2 + (-3 * 6 + 2n * 6) = -1(1 + -5n) + -1 2 + (-18 + 12n) = -1(1 + -5n) + -1 Combine like terms: 2 + -18 = -16 -16 + 12n = -1(1 + -5n) + -1 -16 + 12n = (1 * -1 + -5n * -1) + -1 -16 + 12n = (-1 + 5n) + -1 Reorder the terms: -16 + 12n = -1 + -1 + 5n Combine like terms: -1 + -1 = -2 -16 + 12n = -2 + 5n Solving -16 + 12n = -2 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -16 + 12n + -5n = -2 + 5n + -5n Combine like terms: 12n + -5n = 7n -16 + 7n = -2 + 5n + -5n Combine like terms: 5n + -5n = 0 -16 + 7n = -2 + 0 -16 + 7n = -2 Add '16' to each side of the equation. -16 + 16 + 7n = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 7n = -2 + 16 7n = -2 + 16 Combine like terms: -2 + 16 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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