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Simplifying 7n + -8 = 31n + 10 Reorder the terms: -8 + 7n = 31n + 10 Reorder the terms: -8 + 7n = 10 + 31n Solving -8 + 7n = 10 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. -8 + 7n + -31n = 10 + 31n + -31n Combine like terms: 7n + -31n = -24n -8 + -24n = 10 + 31n + -31n Combine like terms: 31n + -31n = 0 -8 + -24n = 10 + 0 -8 + -24n = 10 Add '8' to each side of the equation. -8 + 8 + -24n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -24n = 10 + 8 -24n = 10 + 8 Combine like terms: 10 + 8 = 18 -24n = 18 Divide each side by '-24'. n = -0.75 Simplifying n = -0.75
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