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Simplifying 7(3n + -4) = (5n + 2) + 13 Reorder the terms: 7(-4 + 3n) = (5n + 2) + 13 (-4 * 7 + 3n * 7) = (5n + 2) + 13 (-28 + 21n) = (5n + 2) + 13 Reorder the terms: -28 + 21n = (2 + 5n) + 13 Remove parenthesis around (2 + 5n) -28 + 21n = 2 + 5n + 13 Reorder the terms: -28 + 21n = 2 + 13 + 5n Combine like terms: 2 + 13 = 15 -28 + 21n = 15 + 5n Solving -28 + 21n = 15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -28 + 21n + -5n = 15 + 5n + -5n Combine like terms: 21n + -5n = 16n -28 + 16n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 -28 + 16n = 15 + 0 -28 + 16n = 15 Add '28' to each side of the equation. -28 + 28 + 16n = 15 + 28 Combine like terms: -28 + 28 = 0 0 + 16n = 15 + 28 16n = 15 + 28 Combine like terms: 15 + 28 = 43 16n = 43 Divide each side by '16'. n = 2.6875 Simplifying n = 2.6875
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