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Simplifying 7(3n + -1) = (9n + 5) + 3 Reorder the terms: 7(-1 + 3n) = (9n + 5) + 3 (-1 * 7 + 3n * 7) = (9n + 5) + 3 (-7 + 21n) = (9n + 5) + 3 Reorder the terms: -7 + 21n = (5 + 9n) + 3 Remove parenthesis around (5 + 9n) -7 + 21n = 5 + 9n + 3 Reorder the terms: -7 + 21n = 5 + 3 + 9n Combine like terms: 5 + 3 = 8 -7 + 21n = 8 + 9n Solving -7 + 21n = 8 + 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. -7 + 21n + -9n = 8 + 9n + -9n Combine like terms: 21n + -9n = 12n -7 + 12n = 8 + 9n + -9n Combine like terms: 9n + -9n = 0 -7 + 12n = 8 + 0 -7 + 12n = 8 Add '7' to each side of the equation. -7 + 7 + 12n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 12n = 8 + 7 12n = 8 + 7 Combine like terms: 8 + 7 = 15 12n = 15 Divide each side by '12'. n = 1.25 Simplifying n = 1.25
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