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Simplifying 3p + 7 = 2(p + 3) + p + 1 Reorder the terms: 7 + 3p = 2(p + 3) + p + 1 Reorder the terms: 7 + 3p = 2(3 + p) + p + 1 7 + 3p = (3 * 2 + p * 2) + p + 1 7 + 3p = (6 + 2p) + p + 1 Reorder the terms: 7 + 3p = 6 + 1 + 2p + p Combine like terms: 6 + 1 = 7 7 + 3p = 7 + 2p + p Combine like terms: 2p + p = 3p 7 + 3p = 7 + 3p Add '-7' to each side of the equation. 7 + -7 + 3p = 7 + -7 + 3p Combine like terms: 7 + -7 = 0 0 + 3p = 7 + -7 + 3p 3p = 7 + -7 + 3p Combine like terms: 7 + -7 = 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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