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Simplifying 2(3n + -4) = (8n + 5) + 9 Reorder the terms: 2(-4 + 3n) = (8n + 5) + 9 (-4 * 2 + 3n * 2) = (8n + 5) + 9 (-8 + 6n) = (8n + 5) + 9 Reorder the terms: -8 + 6n = (5 + 8n) + 9 Remove parenthesis around (5 + 8n) -8 + 6n = 5 + 8n + 9 Reorder the terms: -8 + 6n = 5 + 9 + 8n Combine like terms: 5 + 9 = 14 -8 + 6n = 14 + 8n Solving -8 + 6n = 14 + 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. -8 + 6n + -8n = 14 + 8n + -8n Combine like terms: 6n + -8n = -2n -8 + -2n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + -2n = 14 + 0 -8 + -2n = 14 Add '8' to each side of the equation. -8 + 8 + -2n = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = 14 + 8 -2n = 14 + 8 Combine like terms: 14 + 8 = 22 -2n = 22 Divide each side by '-2'. n = -11 Simplifying n = -11
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