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Simplifying 3p + 7p + 1 = 2(5p + 1) Reorder the terms: 1 + 3p + 7p = 2(5p + 1) Combine like terms: 3p + 7p = 10p 1 + 10p = 2(5p + 1) Reorder the terms: 1 + 10p = 2(1 + 5p) 1 + 10p = (1 * 2 + 5p * 2) 1 + 10p = (2 + 10p) Add '-10p' to each side of the equation. 1 + 10p + -10p = 2 + 10p + -10p Combine like terms: 10p + -10p = 0 1 + 0 = 2 + 10p + -10p 1 = 2 + 10p + -10p Combine like terms: 10p + -10p = 0 1 = 2 + 0 1 = 2 Solving 1 = 2 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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