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