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Simplifying 8p + -1(7 + -1p) = 2p + -1(6 + -7p) + -1 8p + (7 * -1 + -1p * -1) = 2p + -1(6 + -7p) + -1 8p + (-7 + 1p) = 2p + -1(6 + -7p) + -1 Reorder the terms: -7 + 8p + 1p = 2p + -1(6 + -7p) + -1 Combine like terms: 8p + 1p = 9p -7 + 9p = 2p + -1(6 + -7p) + -1 -7 + 9p = 2p + (6 * -1 + -7p * -1) + -1 -7 + 9p = 2p + (-6 + 7p) + -1 Reorder the terms: -7 + 9p = -6 + -1 + 2p + 7p Combine like terms: -6 + -1 = -7 -7 + 9p = -7 + 2p + 7p Combine like terms: 2p + 7p = 9p -7 + 9p = -7 + 9p Add '7' to each side of the equation. -7 + 7 + 9p = -7 + 7 + 9p Combine like terms: -7 + 7 = 0 0 + 9p = -7 + 7 + 9p 9p = -7 + 7 + 9p Combine like terms: -7 + 7 = 0 9p = 0 + 9p 9p = 9p Add '-9p' to each side of the equation. 9p + -9p = 9p + -9p Combine like terms: 9p + -9p = 0 0 = 9p + -9p Combine like terms: 9p + -9p = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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