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Simplifying -5(p + 2) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: -5(2 + p) + 8 = 2(p + -1) + -7p + 15 (2 * -5 + p * -5) + 8 = 2(p + -1) + -7p + 15 (-10 + -5p) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: -10 + 8 + -5p = 2(p + -1) + -7p + 15 Combine like terms: -10 + 8 = -2 -2 + -5p = 2(p + -1) + -7p + 15 Reorder the terms: -2 + -5p = 2(-1 + p) + -7p + 15 -2 + -5p = (-1 * 2 + p * 2) + -7p + 15 -2 + -5p = (-2 + 2p) + -7p + 15 Reorder the terms: -2 + -5p = -2 + 15 + 2p + -7p Combine like terms: -2 + 15 = 13 -2 + -5p = 13 + 2p + -7p Combine like terms: 2p + -7p = -5p -2 + -5p = 13 + -5p Add '5p' to each side of the equation. -2 + -5p + 5p = 13 + -5p + 5p Combine like terms: -5p + 5p = 0 -2 + 0 = 13 + -5p + 5p -2 = 13 + -5p + 5p Combine like terms: -5p + 5p = 0 -2 = 13 + 0 -2 = 13 Solving -2 = 13 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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