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Simplifying 8n + -3(n + 2) = 2n + 12 Reorder the terms: 8n + -3(2 + n) = 2n + 12 8n + (2 * -3 + n * -3) = 2n + 12 8n + (-6 + -3n) = 2n + 12 Reorder the terms: -6 + 8n + -3n = 2n + 12 Combine like terms: 8n + -3n = 5n -6 + 5n = 2n + 12 Reorder the terms: -6 + 5n = 12 + 2n Solving -6 + 5n = 12 + 2n 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. -6 + 5n + -2n = 12 + 2n + -2n Combine like terms: 5n + -2n = 3n -6 + 3n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + 3n = 12 + 0 -6 + 3n = 12 Add '6' to each side of the equation. -6 + 6 + 3n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 12 + 6 3n = 12 + 6 Combine like terms: 12 + 6 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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