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Simplifying p + -2(p + 3) = 2p + -3(p + 2) Reorder the terms: p + -2(3 + p) = 2p + -3(p + 2) p + (3 * -2 + p * -2) = 2p + -3(p + 2) p + (-6 + -2p) = 2p + -3(p + 2) Reorder the terms: -6 + p + -2p = 2p + -3(p + 2) Combine like terms: p + -2p = -1p -6 + -1p = 2p + -3(p + 2) Reorder the terms: -6 + -1p = 2p + -3(2 + p) -6 + -1p = 2p + (2 * -3 + p * -3) -6 + -1p = 2p + (-6 + -3p) Reorder the terms: -6 + -1p = -6 + 2p + -3p Combine like terms: 2p + -3p = -1p -6 + -1p = -6 + -1p Add '6' to each side of the equation. -6 + 6 + -1p = -6 + 6 + -1p Combine like terms: -6 + 6 = 0 0 + -1p = -6 + 6 + -1p -1p = -6 + 6 + -1p Combine like terms: -6 + 6 = 0 -1p = 0 + -1p -1p = -1p Add 'p' to each side of the equation. -1p + p = -1p + p Combine like terms: -1p + p = 0 0 = -1p + p Combine like terms: -1p + p = 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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