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Simplifying 2(7 + -5(1 + -1n)) + 9n = -18 + 4(6(n + 1) + -3n) 2(7 + (1 * -5 + -1n * -5)) + 9n = -18 + 4(6(n + 1) + -3n) 2(7 + (-5 + 5n)) + 9n = -18 + 4(6(n + 1) + -3n) Combine like terms: 7 + -5 = 2 2(2 + 5n) + 9n = -18 + 4(6(n + 1) + -3n) (2 * 2 + 5n * 2) + 9n = -18 + 4(6(n + 1) + -3n) (4 + 10n) + 9n = -18 + 4(6(n + 1) + -3n) Combine like terms: 10n + 9n = 19n 4 + 19n = -18 + 4(6(n + 1) + -3n) Reorder the terms: 4 + 19n = -18 + 4(6(1 + n) + -3n) 4 + 19n = -18 + 4((1 * 6 + n * 6) + -3n) 4 + 19n = -18 + 4((6 + 6n) + -3n) Combine like terms: 6n + -3n = 3n 4 + 19n = -18 + 4(6 + 3n) 4 + 19n = -18 + (6 * 4 + 3n * 4) 4 + 19n = -18 + (24 + 12n) Combine like terms: -18 + 24 = 6 4 + 19n = 6 + 12n Solving 4 + 19n = 6 + 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. 4 + 19n + -12n = 6 + 12n + -12n Combine like terms: 19n + -12n = 7n 4 + 7n = 6 + 12n + -12n Combine like terms: 12n + -12n = 0 4 + 7n = 6 + 0 4 + 7n = 6 Add '-4' to each side of the equation. 4 + -4 + 7n = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 6 + -4 7n = 6 + -4 Combine like terms: 6 + -4 = 2 7n = 2 Divide each side by '7'. n = 0.2857142857 Simplifying n = 0.2857142857
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