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Simplifying 2(5n + 12) = 6(3n + -4) + -8n Reorder the terms: 2(12 + 5n) = 6(3n + -4) + -8n (12 * 2 + 5n * 2) = 6(3n + -4) + -8n (24 + 10n) = 6(3n + -4) + -8n Reorder the terms: 24 + 10n = 6(-4 + 3n) + -8n 24 + 10n = (-4 * 6 + 3n * 6) + -8n 24 + 10n = (-24 + 18n) + -8n Combine like terms: 18n + -8n = 10n 24 + 10n = -24 + 10n Add '-10n' to each side of the equation. 24 + 10n + -10n = -24 + 10n + -10n Combine like terms: 10n + -10n = 0 24 + 0 = -24 + 10n + -10n 24 = -24 + 10n + -10n Combine like terms: 10n + -10n = 0 24 = -24 + 0 24 = -24 Solving 24 = -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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