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Simplifying 6(n + -4) = -3(-7 + -1n) Reorder the terms: 6(-4 + n) = -3(-7 + -1n) (-4 * 6 + n * 6) = -3(-7 + -1n) (-24 + 6n) = -3(-7 + -1n) -24 + 6n = (-7 * -3 + -1n * -3) -24 + 6n = (21 + 3n) Solving -24 + 6n = 21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -24 + 6n + -3n = 21 + 3n + -3n Combine like terms: 6n + -3n = 3n -24 + 3n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 -24 + 3n = 21 + 0 -24 + 3n = 21 Add '24' to each side of the equation. -24 + 24 + 3n = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 3n = 21 + 24 3n = 21 + 24 Combine like terms: 21 + 24 = 45 3n = 45 Divide each side by '3'. n = 15 Simplifying n = 15
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