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Simplifying -8(-6n + 7) = 4(1 + 7n) Reorder the terms: -8(7 + -6n) = 4(1 + 7n) (7 * -8 + -6n * -8) = 4(1 + 7n) (-56 + 48n) = 4(1 + 7n) -56 + 48n = (1 * 4 + 7n * 4) -56 + 48n = (4 + 28n) Solving -56 + 48n = 4 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -56 + 48n + -28n = 4 + 28n + -28n Combine like terms: 48n + -28n = 20n -56 + 20n = 4 + 28n + -28n Combine like terms: 28n + -28n = 0 -56 + 20n = 4 + 0 -56 + 20n = 4 Add '56' to each side of the equation. -56 + 56 + 20n = 4 + 56 Combine like terms: -56 + 56 = 0 0 + 20n = 4 + 56 20n = 4 + 56 Combine like terms: 4 + 56 = 60 20n = 60 Divide each side by '20'. n = 3 Simplifying n = 3
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