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Simplifying 10n + -2(3n + -6) = 4(3n + -6) + -8n Reorder the terms: 10n + -2(-6 + 3n) = 4(3n + -6) + -8n 10n + (-6 * -2 + 3n * -2) = 4(3n + -6) + -8n 10n + (12 + -6n) = 4(3n + -6) + -8n Reorder the terms: 12 + 10n + -6n = 4(3n + -6) + -8n Combine like terms: 10n + -6n = 4n 12 + 4n = 4(3n + -6) + -8n Reorder the terms: 12 + 4n = 4(-6 + 3n) + -8n 12 + 4n = (-6 * 4 + 3n * 4) + -8n 12 + 4n = (-24 + 12n) + -8n Combine like terms: 12n + -8n = 4n 12 + 4n = -24 + 4n Add '-4n' to each side of the equation. 12 + 4n + -4n = -24 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 0 = -24 + 4n + -4n 12 = -24 + 4n + -4n Combine like terms: 4n + -4n = 0 12 = -24 + 0 12 = -24 Solving 12 = -24 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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