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Simplifying 3(n + -6) = -5n + -2 Reorder the terms: 3(-6 + n) = -5n + -2 (-6 * 3 + n * 3) = -5n + -2 (-18 + 3n) = -5n + -2 Reorder the terms: -18 + 3n = -2 + -5n Solving -18 + 3n = -2 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -18 + 3n + 5n = -2 + -5n + 5n Combine like terms: 3n + 5n = 8n -18 + 8n = -2 + -5n + 5n Combine like terms: -5n + 5n = 0 -18 + 8n = -2 + 0 -18 + 8n = -2 Add '18' to each side of the equation. -18 + 18 + 8n = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 8n = -2 + 18 8n = -2 + 18 Combine like terms: -2 + 18 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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