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Simplifying 2(n + 9) = 4(n + -6) Reorder the terms: 2(9 + n) = 4(n + -6) (9 * 2 + n * 2) = 4(n + -6) (18 + 2n) = 4(n + -6) Reorder the terms: 18 + 2n = 4(-6 + n) 18 + 2n = (-6 * 4 + n * 4) 18 + 2n = (-24 + 4n) Solving 18 + 2n = -24 + 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 + 2n + -4n = -24 + 4n + -4n Combine like terms: 2n + -4n = -2n 18 + -2n = -24 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + -2n = -24 + 0 18 + -2n = -24 Add '-18' to each side of the equation. 18 + -18 + -2n = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -2n = -24 + -18 -2n = -24 + -18 Combine like terms: -24 + -18 = -42 -2n = -42 Divide each side by '-2'. n = 21 Simplifying n = 21
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