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Simplifying -3 + -7(1 + -4n) = 2(n + 8) -3 + (1 * -7 + -4n * -7) = 2(n + 8) -3 + (-7 + 28n) = 2(n + 8) Combine like terms: -3 + -7 = -10 -10 + 28n = 2(n + 8) Reorder the terms: -10 + 28n = 2(8 + n) -10 + 28n = (8 * 2 + n * 2) -10 + 28n = (16 + 2n) Solving -10 + 28n = 16 + 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. -10 + 28n + -2n = 16 + 2n + -2n Combine like terms: 28n + -2n = 26n -10 + 26n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 26n = 16 + 0 -10 + 26n = 16 Add '10' to each side of the equation. -10 + 10 + 26n = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 26n = 16 + 10 26n = 16 + 10 Combine like terms: 16 + 10 = 26 26n = 26 Divide each side by '26'. n = 1 Simplifying n = 1
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