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Simplifying 4(3n + -1) = (9n + 1) + 6 Reorder the terms: 4(-1 + 3n) = (9n + 1) + 6 (-1 * 4 + 3n * 4) = (9n + 1) + 6 (-4 + 12n) = (9n + 1) + 6 Reorder the terms: -4 + 12n = (1 + 9n) + 6 Remove parenthesis around (1 + 9n) -4 + 12n = 1 + 9n + 6 Reorder the terms: -4 + 12n = 1 + 6 + 9n Combine like terms: 1 + 6 = 7 -4 + 12n = 7 + 9n Solving -4 + 12n = 7 + 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. -4 + 12n + -9n = 7 + 9n + -9n Combine like terms: 12n + -9n = 3n -4 + 3n = 7 + 9n + -9n Combine like terms: 9n + -9n = 0 -4 + 3n = 7 + 0 -4 + 3n = 7 Add '4' to each side of the equation. -4 + 4 + 3n = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 3n = 7 + 4 3n = 7 + 4 Combine like terms: 7 + 4 = 11 3n = 11 Divide each side by '3'. n = 3.666666667 Simplifying n = 3.666666667
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