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Simplifying 6(p + -2) + -5p = 2p + -1(p + -7) + 5 Reorder the terms: 6(-2 + p) + -5p = 2p + -1(p + -7) + 5 (-2 * 6 + p * 6) + -5p = 2p + -1(p + -7) + 5 (-12 + 6p) + -5p = 2p + -1(p + -7) + 5 Combine like terms: 6p + -5p = 1p -12 + 1p = 2p + -1(p + -7) + 5 Reorder the terms: -12 + 1p = 2p + -1(-7 + p) + 5 -12 + 1p = 2p + (-7 * -1 + p * -1) + 5 -12 + 1p = 2p + (7 + -1p) + 5 Reorder the terms: -12 + 1p = 7 + 5 + 2p + -1p Combine like terms: 7 + 5 = 12 -12 + 1p = 12 + 2p + -1p Combine like terms: 2p + -1p = 1p -12 + 1p = 12 + 1p Add '-1p' to each side of the equation. -12 + 1p + -1p = 12 + 1p + -1p Combine like terms: 1p + -1p = 0 -12 + 0 = 12 + 1p + -1p -12 = 12 + 1p + -1p Combine like terms: 1p + -1p = 0 -12 = 12 + 0 -12 = 12 Solving -12 = 12 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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