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Simplifying -4(6 + -1n) = 4(7n + 6) (6 * -4 + -1n * -4) = 4(7n + 6) (-24 + 4n) = 4(7n + 6) Reorder the terms: -24 + 4n = 4(6 + 7n) -24 + 4n = (6 * 4 + 7n * 4) -24 + 4n = (24 + 28n) Solving -24 + 4n = 24 + 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. -24 + 4n + -28n = 24 + 28n + -28n Combine like terms: 4n + -28n = -24n -24 + -24n = 24 + 28n + -28n Combine like terms: 28n + -28n = 0 -24 + -24n = 24 + 0 -24 + -24n = 24 Add '24' to each side of the equation. -24 + 24 + -24n = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -24n = 24 + 24 -24n = 24 + 24 Combine like terms: 24 + 24 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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