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Simplifying 31n + -5 = -8(6 + 15n) Reorder the terms: -5 + 31n = -8(6 + 15n) -5 + 31n = (6 * -8 + 15n * -8) -5 + 31n = (-48 + -120n) Solving -5 + 31n = -48 + -120n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '120n' to each side of the equation. -5 + 31n + 120n = -48 + -120n + 120n Combine like terms: 31n + 120n = 151n -5 + 151n = -48 + -120n + 120n Combine like terms: -120n + 120n = 0 -5 + 151n = -48 + 0 -5 + 151n = -48 Add '5' to each side of the equation. -5 + 5 + 151n = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 151n = -48 + 5 151n = -48 + 5 Combine like terms: -48 + 5 = -43 151n = -43 Divide each side by '151'. n = -0.2847682119 Simplifying n = -0.2847682119
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