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Simplifying 5n + -2(n + 3) = 8n + -31 Reorder the terms: 5n + -2(3 + n) = 8n + -31 5n + (3 * -2 + n * -2) = 8n + -31 5n + (-6 + -2n) = 8n + -31 Reorder the terms: -6 + 5n + -2n = 8n + -31 Combine like terms: 5n + -2n = 3n -6 + 3n = 8n + -31 Reorder the terms: -6 + 3n = -31 + 8n Solving -6 + 3n = -31 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -6 + 3n + -8n = -31 + 8n + -8n Combine like terms: 3n + -8n = -5n -6 + -5n = -31 + 8n + -8n Combine like terms: 8n + -8n = 0 -6 + -5n = -31 + 0 -6 + -5n = -31 Add '6' to each side of the equation. -6 + 6 + -5n = -31 + 6 Combine like terms: -6 + 6 = 0 0 + -5n = -31 + 6 -5n = -31 + 6 Combine like terms: -31 + 6 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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