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Simplifying 3(2n + -4) = (8n + 6) + 9 Reorder the terms: 3(-4 + 2n) = (8n + 6) + 9 (-4 * 3 + 2n * 3) = (8n + 6) + 9 (-12 + 6n) = (8n + 6) + 9 Reorder the terms: -12 + 6n = (6 + 8n) + 9 Remove parenthesis around (6 + 8n) -12 + 6n = 6 + 8n + 9 Reorder the terms: -12 + 6n = 6 + 9 + 8n Combine like terms: 6 + 9 = 15 -12 + 6n = 15 + 8n Solving -12 + 6n = 15 + 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. -12 + 6n + -8n = 15 + 8n + -8n Combine like terms: 6n + -8n = -2n -12 + -2n = 15 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + -2n = 15 + 0 -12 + -2n = 15 Add '12' to each side of the equation. -12 + 12 + -2n = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = 15 + 12 -2n = 15 + 12 Combine like terms: 15 + 12 = 27 -2n = 27 Divide each side by '-2'. n = -13.5 Simplifying n = -13.5
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