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Simplifying 3(p + 3) + 5p = 4(2p + 1) + 5 Reorder the terms: 3(3 + p) + 5p = 4(2p + 1) + 5 (3 * 3 + p * 3) + 5p = 4(2p + 1) + 5 (9 + 3p) + 5p = 4(2p + 1) + 5 Combine like terms: 3p + 5p = 8p 9 + 8p = 4(2p + 1) + 5 Reorder the terms: 9 + 8p = 4(1 + 2p) + 5 9 + 8p = (1 * 4 + 2p * 4) + 5 9 + 8p = (4 + 8p) + 5 Reorder the terms: 9 + 8p = 4 + 5 + 8p Combine like terms: 4 + 5 = 9 9 + 8p = 9 + 8p Add '-9' to each side of the equation. 9 + -9 + 8p = 9 + -9 + 8p Combine like terms: 9 + -9 = 0 0 + 8p = 9 + -9 + 8p 8p = 9 + -9 + 8p Combine like terms: 9 + -9 = 0 8p = 0 + 8p 8p = 8p Add '-8p' to each side of the equation. 8p + -8p = 8p + -8p Combine like terms: 8p + -8p = 0 0 = 8p + -8p Combine like terms: 8p + -8p = 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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