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Simplifying 7(2n + -3) = (3n + 4) + 4 Reorder the terms: 7(-3 + 2n) = (3n + 4) + 4 (-3 * 7 + 2n * 7) = (3n + 4) + 4 (-21 + 14n) = (3n + 4) + 4 Reorder the terms: -21 + 14n = (4 + 3n) + 4 Remove parenthesis around (4 + 3n) -21 + 14n = 4 + 3n + 4 Reorder the terms: -21 + 14n = 4 + 4 + 3n Combine like terms: 4 + 4 = 8 -21 + 14n = 8 + 3n Solving -21 + 14n = 8 + 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. -21 + 14n + -3n = 8 + 3n + -3n Combine like terms: 14n + -3n = 11n -21 + 11n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -21 + 11n = 8 + 0 -21 + 11n = 8 Add '21' to each side of the equation. -21 + 21 + 11n = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 11n = 8 + 21 11n = 8 + 21 Combine like terms: 8 + 21 = 29 11n = 29 Divide each side by '11'. n = 2.636363636 Simplifying n = 2.636363636
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