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Simplifying (n + n + 4) * 6 + -3 = 5(-1(n + 6)) Reorder the terms: (4 + n + n) * 6 + -3 = 5(-1(n + 6)) Combine like terms: n + n = 2n (4 + 2n) * 6 + -3 = 5(-1(n + 6)) Reorder the terms for easier multiplication: 6(4 + 2n) + -3 = 5(-1(n + 6)) (4 * 6 + 2n * 6) + -3 = 5(-1(n + 6)) (24 + 12n) + -3 = 5(-1(n + 6)) Reorder the terms: 24 + -3 + 12n = 5(-1(n + 6)) Combine like terms: 24 + -3 = 21 21 + 12n = 5(-1(n + 6)) Reorder the terms: 21 + 12n = 5(-1(6 + n)) 21 + 12n = 5((6 * -1 + n * -1)) 21 + 12n = 5((-6 + -1n)) 21 + 12n = (-6 * 5 + -1n * 5) 21 + 12n = (-30 + -5n) Solving 21 + 12n = -30 + -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. 21 + 12n + 5n = -30 + -5n + 5n Combine like terms: 12n + 5n = 17n 21 + 17n = -30 + -5n + 5n Combine like terms: -5n + 5n = 0 21 + 17n = -30 + 0 21 + 17n = -30 Add '-21' to each side of the equation. 21 + -21 + 17n = -30 + -21 Combine like terms: 21 + -21 = 0 0 + 17n = -30 + -21 17n = -30 + -21 Combine like terms: -30 + -21 = -51 17n = -51 Divide each side by '17'. n = -3 Simplifying n = -3
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