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Simplifying 4(3n + -1) = (3n + 2) + 7 Reorder the terms: 4(-1 + 3n) = (3n + 2) + 7 (-1 * 4 + 3n * 4) = (3n + 2) + 7 (-4 + 12n) = (3n + 2) + 7 Reorder the terms: -4 + 12n = (2 + 3n) + 7 Remove parenthesis around (2 + 3n) -4 + 12n = 2 + 3n + 7 Reorder the terms: -4 + 12n = 2 + 7 + 3n Combine like terms: 2 + 7 = 9 -4 + 12n = 9 + 3n Solving -4 + 12n = 9 + 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. -4 + 12n + -3n = 9 + 3n + -3n Combine like terms: 12n + -3n = 9n -4 + 9n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 + 9n = 9 + 0 -4 + 9n = 9 Add '4' to each side of the equation. -4 + 4 + 9n = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 9n = 9 + 4 9n = 9 + 4 Combine like terms: 9 + 4 = 13 9n = 13 Divide each side by '9'. n = 1.444444444 Simplifying n = 1.444444444
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