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Simplifying 3(p + 7) = 2(p + -3) + p + 27 Reorder the terms: 3(7 + p) = 2(p + -3) + p + 27 (7 * 3 + p * 3) = 2(p + -3) + p + 27 (21 + 3p) = 2(p + -3) + p + 27 Reorder the terms: 21 + 3p = 2(-3 + p) + p + 27 21 + 3p = (-3 * 2 + p * 2) + p + 27 21 + 3p = (-6 + 2p) + p + 27 Reorder the terms: 21 + 3p = -6 + 27 + 2p + p Combine like terms: -6 + 27 = 21 21 + 3p = 21 + 2p + p Combine like terms: 2p + p = 3p 21 + 3p = 21 + 3p Add '-21' to each side of the equation. 21 + -21 + 3p = 21 + -21 + 3p Combine like terms: 21 + -21 = 0 0 + 3p = 21 + -21 + 3p 3p = 21 + -21 + 3p Combine like terms: 21 + -21 = 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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