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Simplifying 2(3n + -5) = (8n + 6) + 4 Reorder the terms: 2(-5 + 3n) = (8n + 6) + 4 (-5 * 2 + 3n * 2) = (8n + 6) + 4 (-10 + 6n) = (8n + 6) + 4 Reorder the terms: -10 + 6n = (6 + 8n) + 4 Remove parenthesis around (6 + 8n) -10 + 6n = 6 + 8n + 4 Reorder the terms: -10 + 6n = 6 + 4 + 8n Combine like terms: 6 + 4 = 10 -10 + 6n = 10 + 8n Solving -10 + 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. -10 + 6n + -8n = 10 + 8n + -8n Combine like terms: 6n + -8n = -2n -10 + -2n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -2n = 10 + 0 -10 + -2n = 10 Add '10' to each side of the equation. -10 + 10 + -2n = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 10 + 10 -2n = 10 + 10 Combine like terms: 10 + 10 = 20 -2n = 20 Divide each side by '-2'. n = -10 Simplifying n = -10
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