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Simplifying 31 + 7n = 4(-2 + 5n) 31 + 7n = (-2 * 4 + 5n * 4) 31 + 7n = (-8 + 20n) Solving 31 + 7n = -8 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 31 + 7n + -20n = -8 + 20n + -20n Combine like terms: 7n + -20n = -13n 31 + -13n = -8 + 20n + -20n Combine like terms: 20n + -20n = 0 31 + -13n = -8 + 0 31 + -13n = -8 Add '-31' to each side of the equation. 31 + -31 + -13n = -8 + -31 Combine like terms: 31 + -31 = 0 0 + -13n = -8 + -31 -13n = -8 + -31 Combine like terms: -8 + -31 = -39 -13n = -39 Divide each side by '-13'. n = 3 Simplifying n = 3
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