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Simplifying 2(3n + -5) = (3n + 3) + 1 Reorder the terms: 2(-5 + 3n) = (3n + 3) + 1 (-5 * 2 + 3n * 2) = (3n + 3) + 1 (-10 + 6n) = (3n + 3) + 1 Reorder the terms: -10 + 6n = (3 + 3n) + 1 Remove parenthesis around (3 + 3n) -10 + 6n = 3 + 3n + 1 Reorder the terms: -10 + 6n = 3 + 1 + 3n Combine like terms: 3 + 1 = 4 -10 + 6n = 4 + 3n Solving -10 + 6n = 4 + 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. -10 + 6n + -3n = 4 + 3n + -3n Combine like terms: 6n + -3n = 3n -10 + 3n = 4 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 3n = 4 + 0 -10 + 3n = 4 Add '10' to each side of the equation. -10 + 10 + 3n = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 4 + 10 3n = 4 + 10 Combine like terms: 4 + 10 = 14 3n = 14 Divide each side by '3'. n = 4.666666667 Simplifying n = 4.666666667
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