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Simplifying 8(n + 4) = 10(n + -10) + -2n Reorder the terms: 8(4 + n) = 10(n + -10) + -2n (4 * 8 + n * 8) = 10(n + -10) + -2n (32 + 8n) = 10(n + -10) + -2n Reorder the terms: 32 + 8n = 10(-10 + n) + -2n 32 + 8n = (-10 * 10 + n * 10) + -2n 32 + 8n = (-100 + 10n) + -2n Combine like terms: 10n + -2n = 8n 32 + 8n = -100 + 8n Add '-8n' to each side of the equation. 32 + 8n + -8n = -100 + 8n + -8n Combine like terms: 8n + -8n = 0 32 + 0 = -100 + 8n + -8n 32 = -100 + 8n + -8n Combine like terms: 8n + -8n = 0 32 = -100 + 0 32 = -100 Solving 32 = -100 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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