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Simplifying 7(2n + -4) = (3n + 9) + 3 Reorder the terms: 7(-4 + 2n) = (3n + 9) + 3 (-4 * 7 + 2n * 7) = (3n + 9) + 3 (-28 + 14n) = (3n + 9) + 3 Reorder the terms: -28 + 14n = (9 + 3n) + 3 Remove parenthesis around (9 + 3n) -28 + 14n = 9 + 3n + 3 Reorder the terms: -28 + 14n = 9 + 3 + 3n Combine like terms: 9 + 3 = 12 -28 + 14n = 12 + 3n Solving -28 + 14n = 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. -28 + 14n + -3n = 12 + 3n + -3n Combine like terms: 14n + -3n = 11n -28 + 11n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -28 + 11n = 12 + 0 -28 + 11n = 12 Add '28' to each side of the equation. -28 + 28 + 11n = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 11n = 12 + 28 11n = 12 + 28 Combine like terms: 12 + 28 = 40 11n = 40 Divide each side by '11'. n = 3.636363636 Simplifying n = 3.636363636
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