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Simplifying -2n + 6(3n + 2) = 2(8n + 3) + -5 Reorder the terms: -2n + 6(2 + 3n) = 2(8n + 3) + -5 -2n + (2 * 6 + 3n * 6) = 2(8n + 3) + -5 -2n + (12 + 18n) = 2(8n + 3) + -5 Reorder the terms: 12 + -2n + 18n = 2(8n + 3) + -5 Combine like terms: -2n + 18n = 16n 12 + 16n = 2(8n + 3) + -5 Reorder the terms: 12 + 16n = 2(3 + 8n) + -5 12 + 16n = (3 * 2 + 8n * 2) + -5 12 + 16n = (6 + 16n) + -5 Reorder the terms: 12 + 16n = 6 + -5 + 16n Combine like terms: 6 + -5 = 1 12 + 16n = 1 + 16n Add '-16n' to each side of the equation. 12 + 16n + -16n = 1 + 16n + -16n Combine like terms: 16n + -16n = 0 12 + 0 = 1 + 16n + -16n 12 = 1 + 16n + -16n Combine like terms: 16n + -16n = 0 12 = 1 + 0 12 = 1 Solving 12 = 1 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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