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Simplifying 6(p + 3) + 5 = 3 + 5(2p + 4) + -4p Reorder the terms: 6(3 + p) + 5 = 3 + 5(2p + 4) + -4p (3 * 6 + p * 6) + 5 = 3 + 5(2p + 4) + -4p (18 + 6p) + 5 = 3 + 5(2p + 4) + -4p Reorder the terms: 18 + 5 + 6p = 3 + 5(2p + 4) + -4p Combine like terms: 18 + 5 = 23 23 + 6p = 3 + 5(2p + 4) + -4p Reorder the terms: 23 + 6p = 3 + 5(4 + 2p) + -4p 23 + 6p = 3 + (4 * 5 + 2p * 5) + -4p 23 + 6p = 3 + (20 + 10p) + -4p Combine like terms: 3 + 20 = 23 23 + 6p = 23 + 10p + -4p Combine like terms: 10p + -4p = 6p 23 + 6p = 23 + 6p Add '-23' to each side of the equation. 23 + -23 + 6p = 23 + -23 + 6p Combine like terms: 23 + -23 = 0 0 + 6p = 23 + -23 + 6p 6p = 23 + -23 + 6p Combine like terms: 23 + -23 = 0 6p = 0 + 6p 6p = 6p Add '-6p' to each side of the equation. 6p + -6p = 6p + -6p Combine like terms: 6p + -6p = 0 0 = 6p + -6p Combine like terms: 6p + -6p = 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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