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Simplifying 3(2n + -5) = (8n + 4) + 6 Reorder the terms: 3(-5 + 2n) = (8n + 4) + 6 (-5 * 3 + 2n * 3) = (8n + 4) + 6 (-15 + 6n) = (8n + 4) + 6 Reorder the terms: -15 + 6n = (4 + 8n) + 6 Remove parenthesis around (4 + 8n) -15 + 6n = 4 + 8n + 6 Reorder the terms: -15 + 6n = 4 + 6 + 8n Combine like terms: 4 + 6 = 10 -15 + 6n = 10 + 8n Solving -15 + 6n = 10 + 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. -15 + 6n + -8n = 10 + 8n + -8n Combine like terms: 6n + -8n = -2n -15 + -2n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 -15 + -2n = 10 + 0 -15 + -2n = 10 Add '15' to each side of the equation. -15 + 15 + -2n = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -2n = 10 + 15 -2n = 10 + 15 Combine like terms: 10 + 15 = 25 -2n = 25 Divide each side by '-2'. n = -12.5 Simplifying n = -12.5
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