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Simplifying 2(4n + -6) = 3n + 9 Reorder the terms: 2(-6 + 4n) = 3n + 9 (-6 * 2 + 4n * 2) = 3n + 9 (-12 + 8n) = 3n + 9 Reorder the terms: -12 + 8n = 9 + 3n Solving -12 + 8n = 9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + 8n + -3n = 9 + 3n + -3n Combine like terms: 8n + -3n = 5n -12 + 5n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 5n = 9 + 0 -12 + 5n = 9 Add '12' to each side of the equation. -12 + 12 + 5n = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 5n = 9 + 12 5n = 9 + 12 Combine like terms: 9 + 12 = 21 5n = 21 Divide each side by '5'. n = 4.2 Simplifying n = 4.2
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