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Simplifying -4(n + 2) = 3(n + 4) Reorder the terms: -4(2 + n) = 3(n + 4) (2 * -4 + n * -4) = 3(n + 4) (-8 + -4n) = 3(n + 4) Reorder the terms: -8 + -4n = 3(4 + n) -8 + -4n = (4 * 3 + n * 3) -8 + -4n = (12 + 3n) Solving -8 + -4n = 12 + 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. -8 + -4n + -3n = 12 + 3n + -3n Combine like terms: -4n + -3n = -7n -8 + -7n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + -7n = 12 + 0 -8 + -7n = 12 Add '8' to each side of the equation. -8 + 8 + -7n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -7n = 12 + 8 -7n = 12 + 8 Combine like terms: 12 + 8 = 20 -7n = 20 Divide each side by '-7'. n = -2.857142857 Simplifying n = -2.857142857
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