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Simplifying 4(3n + -4) = (3n + 2) + 5 Reorder the terms: 4(-4 + 3n) = (3n + 2) + 5 (-4 * 4 + 3n * 4) = (3n + 2) + 5 (-16 + 12n) = (3n + 2) + 5 Reorder the terms: -16 + 12n = (2 + 3n) + 5 Remove parenthesis around (2 + 3n) -16 + 12n = 2 + 3n + 5 Reorder the terms: -16 + 12n = 2 + 5 + 3n Combine like terms: 2 + 5 = 7 -16 + 12n = 7 + 3n Solving -16 + 12n = 7 + 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 = 7 + 3n + -3n Combine like terms: 12n + -3n = 9n -16 + 9n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -16 + 9n = 7 + 0 -16 + 9n = 7 Add '16' to each side of the equation. -16 + 16 + 9n = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 9n = 7 + 16 9n = 7 + 16 Combine like terms: 7 + 16 = 23 9n = 23 Divide each side by '9'. n = 2.555555556 Simplifying n = 2.555555556
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