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Simplifying 2(n + 5) = 9n + 3(n + 10) Reorder the terms: 2(5 + n) = 9n + 3(n + 10) (5 * 2 + n * 2) = 9n + 3(n + 10) (10 + 2n) = 9n + 3(n + 10) Reorder the terms: 10 + 2n = 9n + 3(10 + n) 10 + 2n = 9n + (10 * 3 + n * 3) 10 + 2n = 9n + (30 + 3n) Reorder the terms: 10 + 2n = 30 + 9n + 3n Combine like terms: 9n + 3n = 12n 10 + 2n = 30 + 12n Solving 10 + 2n = 30 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 10 + 2n + -12n = 30 + 12n + -12n Combine like terms: 2n + -12n = -10n 10 + -10n = 30 + 12n + -12n Combine like terms: 12n + -12n = 0 10 + -10n = 30 + 0 10 + -10n = 30 Add '-10' to each side of the equation. 10 + -10 + -10n = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -10n = 30 + -10 -10n = 30 + -10 Combine like terms: 30 + -10 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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