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Simplifying 4(2n + 6) = 2(3n + 12) + 2n Reorder the terms: 4(6 + 2n) = 2(3n + 12) + 2n (6 * 4 + 2n * 4) = 2(3n + 12) + 2n (24 + 8n) = 2(3n + 12) + 2n Reorder the terms: 24 + 8n = 2(12 + 3n) + 2n 24 + 8n = (12 * 2 + 3n * 2) + 2n 24 + 8n = (24 + 6n) + 2n Combine like terms: 6n + 2n = 8n 24 + 8n = 24 + 8n Add '-24' to each side of the equation. 24 + -24 + 8n = 24 + -24 + 8n Combine like terms: 24 + -24 = 0 0 + 8n = 24 + -24 + 8n 8n = 24 + -24 + 8n Combine like terms: 24 + -24 = 0 8n = 0 + 8n 8n = 8n Add '-8n' to each side of the equation. 8n + -8n = 8n + -8n Combine like terms: 8n + -8n = 0 0 = 8n + -8n Combine like terms: 8n + -8n = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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