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