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Simplifying 5p + 4(2p + 1) = 7p + 3(2p + 5) + -11 Reorder the terms: 5p + 4(1 + 2p) = 7p + 3(2p + 5) + -11 5p + (1 * 4 + 2p * 4) = 7p + 3(2p + 5) + -11 5p + (4 + 8p) = 7p + 3(2p + 5) + -11 Reorder the terms: 4 + 5p + 8p = 7p + 3(2p + 5) + -11 Combine like terms: 5p + 8p = 13p 4 + 13p = 7p + 3(2p + 5) + -11 Reorder the terms: 4 + 13p = 7p + 3(5 + 2p) + -11 4 + 13p = 7p + (5 * 3 + 2p * 3) + -11 4 + 13p = 7p + (15 + 6p) + -11 Reorder the terms: 4 + 13p = 15 + -11 + 7p + 6p Combine like terms: 15 + -11 = 4 4 + 13p = 4 + 7p + 6p Combine like terms: 7p + 6p = 13p 4 + 13p = 4 + 13p Add '-4' to each side of the equation. 4 + -4 + 13p = 4 + -4 + 13p Combine like terms: 4 + -4 = 0 0 + 13p = 4 + -4 + 13p 13p = 4 + -4 + 13p Combine like terms: 4 + -4 = 0 13p = 0 + 13p 13p = 13p Add '-13p' to each side of the equation. 13p + -13p = 13p + -13p Combine like terms: 13p + -13p = 0 0 = 13p + -13p Combine like terms: 13p + -13p = 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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