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Simplifying 3(2n + -6) = 2(2n + -5) Reorder the terms: 3(-6 + 2n) = 2(2n + -5) (-6 * 3 + 2n * 3) = 2(2n + -5) (-18 + 6n) = 2(2n + -5) Reorder the terms: -18 + 6n = 2(-5 + 2n) -18 + 6n = (-5 * 2 + 2n * 2) -18 + 6n = (-10 + 4n) Solving -18 + 6n = -10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -18 + 6n + -4n = -10 + 4n + -4n Combine like terms: 6n + -4n = 2n -18 + 2n = -10 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 2n = -10 + 0 -18 + 2n = -10 Add '18' to each side of the equation. -18 + 18 + 2n = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 2n = -10 + 18 2n = -10 + 18 Combine like terms: -10 + 18 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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