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Simplifying 4(3n + -5) = (6n + 6) + 8 Reorder the terms: 4(-5 + 3n) = (6n + 6) + 8 (-5 * 4 + 3n * 4) = (6n + 6) + 8 (-20 + 12n) = (6n + 6) + 8 Reorder the terms: -20 + 12n = (6 + 6n) + 8 Remove parenthesis around (6 + 6n) -20 + 12n = 6 + 6n + 8 Reorder the terms: -20 + 12n = 6 + 8 + 6n Combine like terms: 6 + 8 = 14 -20 + 12n = 14 + 6n Solving -20 + 12n = 14 + 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. -20 + 12n + -6n = 14 + 6n + -6n Combine like terms: 12n + -6n = 6n -20 + 6n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 -20 + 6n = 14 + 0 -20 + 6n = 14 Add '20' to each side of the equation. -20 + 20 + 6n = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 6n = 14 + 20 6n = 14 + 20 Combine like terms: 14 + 20 = 34 6n = 34 Divide each side by '6'. n = 5.666666667 Simplifying n = 5.666666667
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