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Simplifying 31 = 3(3p + -2) + 2n Reorder the terms: 31 = 3(-2 + 3p) + 2n 31 = (-2 * 3 + 3p * 3) + 2n 31 = (-6 + 9p) + 2n Reorder the terms: 31 = -6 + 2n + 9p Solving 31 = -6 + 2n + 9p 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. 31 + -2n = -6 + 2n + -2n + 9p Combine like terms: 2n + -2n = 0 31 + -2n = -6 + 0 + 9p 31 + -2n = -6 + 9p Add '-31' to each side of the equation. 31 + -31 + -2n = -6 + -31 + 9p Combine like terms: 31 + -31 = 0 0 + -2n = -6 + -31 + 9p -2n = -6 + -31 + 9p Combine like terms: -6 + -31 = -37 -2n = -37 + 9p Divide each side by '-2'. n = 18.5 + -4.5p Simplifying n = 18.5 + -4.5p
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