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Simplifying -5p + 15(1 + -1p) = -10p + 10(1 + -1p) -5p + (1 * 15 + -1p * 15) = -10p + 10(1 + -1p) -5p + (15 + -15p) = -10p + 10(1 + -1p) Reorder the terms: 15 + -5p + -15p = -10p + 10(1 + -1p) Combine like terms: -5p + -15p = -20p 15 + -20p = -10p + 10(1 + -1p) 15 + -20p = -10p + (1 * 10 + -1p * 10) 15 + -20p = -10p + (10 + -10p) Reorder the terms: 15 + -20p = 10 + -10p + -10p Combine like terms: -10p + -10p = -20p 15 + -20p = 10 + -20p Add '20p' to each side of the equation. 15 + -20p + 20p = 10 + -20p + 20p Combine like terms: -20p + 20p = 0 15 + 0 = 10 + -20p + 20p 15 = 10 + -20p + 20p Combine like terms: -20p + 20p = 0 15 = 10 + 0 15 = 10 Solving 15 = 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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