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Simplifying 3(2n + -4) = (9n + 7) + 6 Reorder the terms: 3(-4 + 2n) = (9n + 7) + 6 (-4 * 3 + 2n * 3) = (9n + 7) + 6 (-12 + 6n) = (9n + 7) + 6 Reorder the terms: -12 + 6n = (7 + 9n) + 6 Remove parenthesis around (7 + 9n) -12 + 6n = 7 + 9n + 6 Reorder the terms: -12 + 6n = 7 + 6 + 9n Combine like terms: 7 + 6 = 13 -12 + 6n = 13 + 9n Solving -12 + 6n = 13 + 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. -12 + 6n + -9n = 13 + 9n + -9n Combine like terms: 6n + -9n = -3n -12 + -3n = 13 + 9n + -9n Combine like terms: 9n + -9n = 0 -12 + -3n = 13 + 0 -12 + -3n = 13 Add '12' to each side of the equation. -12 + 12 + -3n = 13 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = 13 + 12 -3n = 13 + 12 Combine like terms: 13 + 12 = 25 -3n = 25 Divide each side by '-3'. n = -8.333333333 Simplifying n = -8.333333333
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