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Simplifying 15 + -1(3 + -4n) = 2(n + 2) 15 + (3 * -1 + -4n * -1) = 2(n + 2) 15 + (-3 + 4n) = 2(n + 2) Combine like terms: 15 + -3 = 12 12 + 4n = 2(n + 2) Reorder the terms: 12 + 4n = 2(2 + n) 12 + 4n = (2 * 2 + n * 2) 12 + 4n = (4 + 2n) Solving 12 + 4n = 4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12 + 4n + -2n = 4 + 2n + -2n Combine like terms: 4n + -2n = 2n 12 + 2n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 2n = 4 + 0 12 + 2n = 4 Add '-12' to each side of the equation. 12 + -12 + 2n = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 4 + -12 2n = 4 + -12 Combine like terms: 4 + -12 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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