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