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Simplifying 3(p + 2) = 2(p + -6) + p + 18 Reorder the terms: 3(2 + p) = 2(p + -6) + p + 18 (2 * 3 + p * 3) = 2(p + -6) + p + 18 (6 + 3p) = 2(p + -6) + p + 18 Reorder the terms: 6 + 3p = 2(-6 + p) + p + 18 6 + 3p = (-6 * 2 + p * 2) + p + 18 6 + 3p = (-12 + 2p) + p + 18 Reorder the terms: 6 + 3p = -12 + 18 + 2p + p Combine like terms: -12 + 18 = 6 6 + 3p = 6 + 2p + p Combine like terms: 2p + p = 3p 6 + 3p = 6 + 3p Add '-6' to each side of the equation. 6 + -6 + 3p = 6 + -6 + 3p Combine like terms: 6 + -6 = 0 0 + 3p = 6 + -6 + 3p 3p = 6 + -6 + 3p Combine like terms: 6 + -6 = 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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