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Simplifying 5(2 + n) = 3(n + -6) (2 * 5 + n * 5) = 3(n + -6) (10 + 5n) = 3(n + -6) Reorder the terms: 10 + 5n = 3(-6 + n) 10 + 5n = (-6 * 3 + n * 3) 10 + 5n = (-18 + 3n) Solving 10 + 5n = -18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 5n + -3n = -18 + 3n + -3n Combine like terms: 5n + -3n = 2n 10 + 2n = -18 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 2n = -18 + 0 10 + 2n = -18 Add '-10' to each side of the equation. 10 + -10 + 2n = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = -18 + -10 2n = -18 + -10 Combine like terms: -18 + -10 = -28 2n = -28 Divide each side by '2'. n = -14 Simplifying n = -14
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