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Simplifying 4(3n + -4) = (6n + 3) + 6 Reorder the terms: 4(-4 + 3n) = (6n + 3) + 6 (-4 * 4 + 3n * 4) = (6n + 3) + 6 (-16 + 12n) = (6n + 3) + 6 Reorder the terms: -16 + 12n = (3 + 6n) + 6 Remove parenthesis around (3 + 6n) -16 + 12n = 3 + 6n + 6 Reorder the terms: -16 + 12n = 3 + 6 + 6n Combine like terms: 3 + 6 = 9 -16 + 12n = 9 + 6n Solving -16 + 12n = 9 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16 + 12n + -6n = 9 + 6n + -6n Combine like terms: 12n + -6n = 6n -16 + 6n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + 6n = 9 + 0 -16 + 6n = 9 Add '16' to each side of the equation. -16 + 16 + 6n = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 6n = 9 + 16 6n = 9 + 16 Combine like terms: 9 + 16 = 25 6n = 25 Divide each side by '6'. n = 4.166666667 Simplifying n = 4.166666667
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