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Simplifying 12n + 2(n + -3) = 11 + 5(2n + -1) Reorder the terms: 12n + 2(-3 + n) = 11 + 5(2n + -1) 12n + (-3 * 2 + n * 2) = 11 + 5(2n + -1) 12n + (-6 + 2n) = 11 + 5(2n + -1) Reorder the terms: -6 + 12n + 2n = 11 + 5(2n + -1) Combine like terms: 12n + 2n = 14n -6 + 14n = 11 + 5(2n + -1) Reorder the terms: -6 + 14n = 11 + 5(-1 + 2n) -6 + 14n = 11 + (-1 * 5 + 2n * 5) -6 + 14n = 11 + (-5 + 10n) Combine like terms: 11 + -5 = 6 -6 + 14n = 6 + 10n Solving -6 + 14n = 6 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -6 + 14n + -10n = 6 + 10n + -10n Combine like terms: 14n + -10n = 4n -6 + 4n = 6 + 10n + -10n Combine like terms: 10n + -10n = 0 -6 + 4n = 6 + 0 -6 + 4n = 6 Add '6' to each side of the equation. -6 + 6 + 4n = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4n = 6 + 6 4n = 6 + 6 Combine like terms: 6 + 6 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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