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Simplifying 8n + 10 + -4n = 2(n + 3) Reorder the terms: 10 + 8n + -4n = 2(n + 3) Combine like terms: 8n + -4n = 4n 10 + 4n = 2(n + 3) Reorder the terms: 10 + 4n = 2(3 + n) 10 + 4n = (3 * 2 + n * 2) 10 + 4n = (6 + 2n) Solving 10 + 4n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 10 + 4n + -2n = 6 + 2n + -2n Combine like terms: 4n + -2n = 2n 10 + 2n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 2n = 6 + 0 10 + 2n = 6 Add '-10' to each side of the equation. 10 + -10 + 2n = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 6 + -10 2n = 6 + -10 Combine like terms: 6 + -10 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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