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Simplifying 2(2n + -3) = (6n + 6) + 6 Reorder the terms: 2(-3 + 2n) = (6n + 6) + 6 (-3 * 2 + 2n * 2) = (6n + 6) + 6 (-6 + 4n) = (6n + 6) + 6 Reorder the terms: -6 + 4n = (6 + 6n) + 6 Remove parenthesis around (6 + 6n) -6 + 4n = 6 + 6n + 6 Reorder the terms: -6 + 4n = 6 + 6 + 6n Combine like terms: 6 + 6 = 12 -6 + 4n = 12 + 6n Solving -6 + 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. -6 + 4n + -6n = 12 + 6n + -6n Combine like terms: 4n + -6n = -2n -6 + -2n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + -2n = 12 + 0 -6 + -2n = 12 Add '6' to each side of the equation. -6 + 6 + -2n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 12 + 6 -2n = 12 + 6 Combine like terms: 12 + 6 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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