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Simplifying 3n + -8 + 5n = -2(n + -6) Reorder the terms: -8 + 3n + 5n = -2(n + -6) Combine like terms: 3n + 5n = 8n -8 + 8n = -2(n + -6) Reorder the terms: -8 + 8n = -2(-6 + n) -8 + 8n = (-6 * -2 + n * -2) -8 + 8n = (12 + -2n) Solving -8 + 8n = 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. -8 + 8n + 2n = 12 + -2n + 2n Combine like terms: 8n + 2n = 10n -8 + 10n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 -8 + 10n = 12 + 0 -8 + 10n = 12 Add '8' to each side of the equation. -8 + 8 + 10n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10n = 12 + 8 10n = 12 + 8 Combine like terms: 12 + 8 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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