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Simplifying 2(2n + -5) = (6n + 3) + 9 Reorder the terms: 2(-5 + 2n) = (6n + 3) + 9 (-5 * 2 + 2n * 2) = (6n + 3) + 9 (-10 + 4n) = (6n + 3) + 9 Reorder the terms: -10 + 4n = (3 + 6n) + 9 Remove parenthesis around (3 + 6n) -10 + 4n = 3 + 6n + 9 Reorder the terms: -10 + 4n = 3 + 9 + 6n Combine like terms: 3 + 9 = 12 -10 + 4n = 12 + 6n Solving -10 + 4n = 12 + 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. -10 + 4n + -6n = 12 + 6n + -6n Combine like terms: 4n + -6n = -2n -10 + -2n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + -2n = 12 + 0 -10 + -2n = 12 Add '10' to each side of the equation. -10 + 10 + -2n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 12 + 10 -2n = 12 + 10 Combine like terms: 12 + 10 = 22 -2n = 22 Divide each side by '-2'. n = -11 Simplifying n = -11
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