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Simplifying 4(2n + 1) + -2(3 + -4n) = 6 + -4(2 + -4n) Reorder the terms: 4(1 + 2n) + -2(3 + -4n) = 6 + -4(2 + -4n) (1 * 4 + 2n * 4) + -2(3 + -4n) = 6 + -4(2 + -4n) (4 + 8n) + -2(3 + -4n) = 6 + -4(2 + -4n) 4 + 8n + (3 * -2 + -4n * -2) = 6 + -4(2 + -4n) 4 + 8n + (-6 + 8n) = 6 + -4(2 + -4n) Reorder the terms: 4 + -6 + 8n + 8n = 6 + -4(2 + -4n) Combine like terms: 4 + -6 = -2 -2 + 8n + 8n = 6 + -4(2 + -4n) Combine like terms: 8n + 8n = 16n -2 + 16n = 6 + -4(2 + -4n) -2 + 16n = 6 + (2 * -4 + -4n * -4) -2 + 16n = 6 + (-8 + 16n) Combine like terms: 6 + -8 = -2 -2 + 16n = -2 + 16n Add '2' to each side of the equation. -2 + 2 + 16n = -2 + 2 + 16n Combine like terms: -2 + 2 = 0 0 + 16n = -2 + 2 + 16n 16n = -2 + 2 + 16n Combine like terms: -2 + 2 = 0 16n = 0 + 16n 16n = 16n Add '-16n' to each side of the equation. 16n + -16n = 16n + -16n Combine like terms: 16n + -16n = 0 0 = 16n + -16n Combine like terms: 16n + -16n = 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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