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Simplifying 7(2n + -3) = (3n + 8) + 5 Reorder the terms: 7(-3 + 2n) = (3n + 8) + 5 (-3 * 7 + 2n * 7) = (3n + 8) + 5 (-21 + 14n) = (3n + 8) + 5 Reorder the terms: -21 + 14n = (8 + 3n) + 5 Remove parenthesis around (8 + 3n) -21 + 14n = 8 + 3n + 5 Reorder the terms: -21 + 14n = 8 + 5 + 3n Combine like terms: 8 + 5 = 13 -21 + 14n = 13 + 3n Solving -21 + 14n = 13 + 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 = 13 + 3n + -3n Combine like terms: 14n + -3n = 11n -21 + 11n = 13 + 3n + -3n Combine like terms: 3n + -3n = 0 -21 + 11n = 13 + 0 -21 + 11n = 13 Add '21' to each side of the equation. -21 + 21 + 11n = 13 + 21 Combine like terms: -21 + 21 = 0 0 + 11n = 13 + 21 11n = 13 + 21 Combine like terms: 13 + 21 = 34 11n = 34 Divide each side by '11'. n = 3.090909091 Simplifying n = 3.090909091
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