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Simplifying 4(n + 6) = 2 + -3(n + -4) Reorder the terms: 4(6 + n) = 2 + -3(n + -4) (6 * 4 + n * 4) = 2 + -3(n + -4) (24 + 4n) = 2 + -3(n + -4) Reorder the terms: 24 + 4n = 2 + -3(-4 + n) 24 + 4n = 2 + (-4 * -3 + n * -3) 24 + 4n = 2 + (12 + -3n) Combine like terms: 2 + 12 = 14 24 + 4n = 14 + -3n Solving 24 + 4n = 14 + -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 + 4n + 3n = 14 + -3n + 3n Combine like terms: 4n + 3n = 7n 24 + 7n = 14 + -3n + 3n Combine like terms: -3n + 3n = 0 24 + 7n = 14 + 0 24 + 7n = 14 Add '-24' to each side of the equation. 24 + -24 + 7n = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 7n = 14 + -24 7n = 14 + -24 Combine like terms: 14 + -24 = -10 7n = -10 Divide each side by '7'. n = -1.428571429 Simplifying n = -1.428571429
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