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Simplifying 3p + 20 = 1(p + 5) + 2(p + 1) Reorder the terms: 20 + 3p = 1(p + 5) + 2(p + 1) Reorder the terms: 20 + 3p = 1(5 + p) + 2(p + 1) 20 + 3p = (5 * 1 + p * 1) + 2(p + 1) 20 + 3p = (5 + 1p) + 2(p + 1) Reorder the terms: 20 + 3p = 5 + 1p + 2(1 + p) 20 + 3p = 5 + 1p + (1 * 2 + p * 2) 20 + 3p = 5 + 1p + (2 + 2p) Reorder the terms: 20 + 3p = 5 + 2 + 1p + 2p Combine like terms: 5 + 2 = 7 20 + 3p = 7 + 1p + 2p Combine like terms: 1p + 2p = 3p 20 + 3p = 7 + 3p Add '-3p' to each side of the equation. 20 + 3p + -3p = 7 + 3p + -3p Combine like terms: 3p + -3p = 0 20 + 0 = 7 + 3p + -3p 20 = 7 + 3p + -3p Combine like terms: 3p + -3p = 0 20 = 7 + 0 20 = 7 Solving 20 = 7 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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