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Simplifying 3p + -1(p + 5) = 2(p + 4) Reorder the terms: 3p + -1(5 + p) = 2(p + 4) 3p + (5 * -1 + p * -1) = 2(p + 4) 3p + (-5 + -1p) = 2(p + 4) Reorder the terms: -5 + 3p + -1p = 2(p + 4) Combine like terms: 3p + -1p = 2p -5 + 2p = 2(p + 4) Reorder the terms: -5 + 2p = 2(4 + p) -5 + 2p = (4 * 2 + p * 2) -5 + 2p = (8 + 2p) Add '-2p' to each side of the equation. -5 + 2p + -2p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 + 0 = 8 + 2p + -2p -5 = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 = 8 + 0 -5 = 8 Solving -5 = 8 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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