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Simplifying 2n + 3(4n + -3) = 1 + 4n Reorder the terms: 2n + 3(-3 + 4n) = 1 + 4n 2n + (-3 * 3 + 4n * 3) = 1 + 4n 2n + (-9 + 12n) = 1 + 4n Reorder the terms: -9 + 2n + 12n = 1 + 4n Combine like terms: 2n + 12n = 14n -9 + 14n = 1 + 4n Solving -9 + 14n = 1 + 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. -9 + 14n + -4n = 1 + 4n + -4n Combine like terms: 14n + -4n = 10n -9 + 10n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 10n = 1 + 0 -9 + 10n = 1 Add '9' to each side of the equation. -9 + 9 + 10n = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 10n = 1 + 9 10n = 1 + 9 Combine like terms: 1 + 9 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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