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Simplifying 6n + 2(5n + 12) = 25 + -2(1 + -8n) Reorder the terms: 6n + 2(12 + 5n) = 25 + -2(1 + -8n) 6n + (12 * 2 + 5n * 2) = 25 + -2(1 + -8n) 6n + (24 + 10n) = 25 + -2(1 + -8n) Reorder the terms: 24 + 6n + 10n = 25 + -2(1 + -8n) Combine like terms: 6n + 10n = 16n 24 + 16n = 25 + -2(1 + -8n) 24 + 16n = 25 + (1 * -2 + -8n * -2) 24 + 16n = 25 + (-2 + 16n) Combine like terms: 25 + -2 = 23 24 + 16n = 23 + 16n Add '-16n' to each side of the equation. 24 + 16n + -16n = 23 + 16n + -16n Combine like terms: 16n + -16n = 0 24 + 0 = 23 + 16n + -16n 24 = 23 + 16n + -16n Combine like terms: 16n + -16n = 0 24 = 23 + 0 24 = 23 Solving 24 = 23 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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