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Simplifying 4(3n + -4) = (3n + 4) + 8 Reorder the terms: 4(-4 + 3n) = (3n + 4) + 8 (-4 * 4 + 3n * 4) = (3n + 4) + 8 (-16 + 12n) = (3n + 4) + 8 Reorder the terms: -16 + 12n = (4 + 3n) + 8 Remove parenthesis around (4 + 3n) -16 + 12n = 4 + 3n + 8 Reorder the terms: -16 + 12n = 4 + 8 + 3n Combine like terms: 4 + 8 = 12 -16 + 12n = 12 + 3n Solving -16 + 12n = 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. -16 + 12n + -3n = 12 + 3n + -3n Combine like terms: 12n + -3n = 9n -16 + 9n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -16 + 9n = 12 + 0 -16 + 9n = 12 Add '16' to each side of the equation. -16 + 16 + 9n = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 9n = 12 + 16 9n = 12 + 16 Combine like terms: 12 + 16 = 28 9n = 28 Divide each side by '9'. n = 3.111111111 Simplifying n = 3.111111111
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