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Simplifying 3(p + 6) = 2(p + -5) + p + 28 Reorder the terms: 3(6 + p) = 2(p + -5) + p + 28 (6 * 3 + p * 3) = 2(p + -5) + p + 28 (18 + 3p) = 2(p + -5) + p + 28 Reorder the terms: 18 + 3p = 2(-5 + p) + p + 28 18 + 3p = (-5 * 2 + p * 2) + p + 28 18 + 3p = (-10 + 2p) + p + 28 Reorder the terms: 18 + 3p = -10 + 28 + 2p + p Combine like terms: -10 + 28 = 18 18 + 3p = 18 + 2p + p Combine like terms: 2p + p = 3p 18 + 3p = 18 + 3p Add '-18' to each side of the equation. 18 + -18 + 3p = 18 + -18 + 3p Combine like terms: 18 + -18 = 0 0 + 3p = 18 + -18 + 3p 3p = 18 + -18 + 3p Combine like terms: 18 + -18 = 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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