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Simplifying 2(p + -8) + 7 = 5(p + 2) + -3p + -19 Reorder the terms: 2(-8 + p) + 7 = 5(p + 2) + -3p + -19 (-8 * 2 + p * 2) + 7 = 5(p + 2) + -3p + -19 (-16 + 2p) + 7 = 5(p + 2) + -3p + -19 Reorder the terms: -16 + 7 + 2p = 5(p + 2) + -3p + -19 Combine like terms: -16 + 7 = -9 -9 + 2p = 5(p + 2) + -3p + -19 Reorder the terms: -9 + 2p = 5(2 + p) + -3p + -19 -9 + 2p = (2 * 5 + p * 5) + -3p + -19 -9 + 2p = (10 + 5p) + -3p + -19 Reorder the terms: -9 + 2p = 10 + -19 + 5p + -3p Combine like terms: 10 + -19 = -9 -9 + 2p = -9 + 5p + -3p Combine like terms: 5p + -3p = 2p -9 + 2p = -9 + 2p Add '9' to each side of the equation. -9 + 9 + 2p = -9 + 9 + 2p Combine like terms: -9 + 9 = 0 0 + 2p = -9 + 9 + 2p 2p = -9 + 9 + 2p Combine like terms: -9 + 9 = 0 2p = 0 + 2p 2p = 2p Add '-2p' to each side of the equation. 2p + -2p = 2p + -2p Combine like terms: 2p + -2p = 0 0 = 2p + -2p Combine like terms: 2p + -2p = 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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