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Simplifying 10p + 20(1 + -1p) = 0p + 10(1 + -1p) 10p + (1 * 20 + -1p * 20) = 0p + 10(1 + -1p) 10p + (20 + -20p) = 0p + 10(1 + -1p) Reorder the terms: 20 + 10p + -20p = 0p + 10(1 + -1p) Combine like terms: 10p + -20p = -10p 20 + -10p = 0p + 10(1 + -1p) Anything times zero is zero. 20 + -10p = 0p + 10(1 + -1p) 20 + -10p = 0 + (1 * 10 + -1p * 10) 20 + -10p = 0 + (10 + -10p) Combine like terms: 0 + 10 = 10 20 + -10p = 10 + -10p Add '10p' to each side of the equation. 20 + -10p + 10p = 10 + -10p + 10p Combine like terms: -10p + 10p = 0 20 + 0 = 10 + -10p + 10p 20 = 10 + -10p + 10p Combine like terms: -10p + 10p = 0 20 = 10 + 0 20 = 10 Solving 20 = 10 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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