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Simplifying 3(4n + 1) + -3(2n + 3) = 2(n + -7) + p Reorder the terms: 3(1 + 4n) + -3(2n + 3) = 2(n + -7) + p (1 * 3 + 4n * 3) + -3(2n + 3) = 2(n + -7) + p (3 + 12n) + -3(2n + 3) = 2(n + -7) + p Reorder the terms: 3 + 12n + -3(3 + 2n) = 2(n + -7) + p 3 + 12n + (3 * -3 + 2n * -3) = 2(n + -7) + p 3 + 12n + (-9 + -6n) = 2(n + -7) + p Reorder the terms: 3 + -9 + 12n + -6n = 2(n + -7) + p Combine like terms: 3 + -9 = -6 -6 + 12n + -6n = 2(n + -7) + p Combine like terms: 12n + -6n = 6n -6 + 6n = 2(n + -7) + p Reorder the terms: -6 + 6n = 2(-7 + n) + p -6 + 6n = (-7 * 2 + n * 2) + p -6 + 6n = (-14 + 2n) + p Solving -6 + 6n = -14 + 2n + p 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. -6 + 6n + -2n = -14 + 2n + -2n + p Combine like terms: 6n + -2n = 4n -6 + 4n = -14 + 2n + -2n + p Combine like terms: 2n + -2n = 0 -6 + 4n = -14 + 0 + p -6 + 4n = -14 + p Add '6' to each side of the equation. -6 + 6 + 4n = -14 + 6 + p Combine like terms: -6 + 6 = 0 0 + 4n = -14 + 6 + p 4n = -14 + 6 + p Combine like terms: -14 + 6 = -8 4n = -8 + p Divide each side by '4'. n = -2 + 0.25p Simplifying n = -2 + 0.25p
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