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Simplifying 7(3n + -4) = (9n + 7) + 7 Reorder the terms: 7(-4 + 3n) = (9n + 7) + 7 (-4 * 7 + 3n * 7) = (9n + 7) + 7 (-28 + 21n) = (9n + 7) + 7 Reorder the terms: -28 + 21n = (7 + 9n) + 7 Remove parenthesis around (7 + 9n) -28 + 21n = 7 + 9n + 7 Reorder the terms: -28 + 21n = 7 + 7 + 9n Combine like terms: 7 + 7 = 14 -28 + 21n = 14 + 9n Solving -28 + 21n = 14 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -28 + 21n + -9n = 14 + 9n + -9n Combine like terms: 21n + -9n = 12n -28 + 12n = 14 + 9n + -9n Combine like terms: 9n + -9n = 0 -28 + 12n = 14 + 0 -28 + 12n = 14 Add '28' to each side of the equation. -28 + 28 + 12n = 14 + 28 Combine like terms: -28 + 28 = 0 0 + 12n = 14 + 28 12n = 14 + 28 Combine like terms: 14 + 28 = 42 12n = 42 Divide each side by '12'. n = 3.5 Simplifying n = 3.5
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