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Simplifying 6(n + 3) = -2(-2n + 3) Reorder the terms: 6(3 + n) = -2(-2n + 3) (3 * 6 + n * 6) = -2(-2n + 3) (18 + 6n) = -2(-2n + 3) Reorder the terms: 18 + 6n = -2(3 + -2n) 18 + 6n = (3 * -2 + -2n * -2) 18 + 6n = (-6 + 4n) Solving 18 + 6n = -6 + 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 = -6 + 4n + -4n Combine like terms: 6n + -4n = 2n 18 + 2n = -6 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + 2n = -6 + 0 18 + 2n = -6 Add '-18' to each side of the equation. 18 + -18 + 2n = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 2n = -6 + -18 2n = -6 + -18 Combine like terms: -6 + -18 = -24 2n = -24 Divide each side by '2'. n = -12 Simplifying n = -12
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