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Simplifying -4(1 + -7n) = 6(4n + 6) (1 * -4 + -7n * -4) = 6(4n + 6) (-4 + 28n) = 6(4n + 6) Reorder the terms: -4 + 28n = 6(6 + 4n) -4 + 28n = (6 * 6 + 4n * 6) -4 + 28n = (36 + 24n) Solving -4 + 28n = 36 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -4 + 28n + -24n = 36 + 24n + -24n Combine like terms: 28n + -24n = 4n -4 + 4n = 36 + 24n + -24n Combine like terms: 24n + -24n = 0 -4 + 4n = 36 + 0 -4 + 4n = 36 Add '4' to each side of the equation. -4 + 4 + 4n = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 36 + 4 4n = 36 + 4 Combine like terms: 36 + 4 = 40 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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