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Simplifying 6(p + 3) + 5 = 3(2p + 4) + -4p Reorder the terms: 6(3 + p) + 5 = 3(2p + 4) + -4p (3 * 6 + p * 6) + 5 = 3(2p + 4) + -4p (18 + 6p) + 5 = 3(2p + 4) + -4p Reorder the terms: 18 + 5 + 6p = 3(2p + 4) + -4p Combine like terms: 18 + 5 = 23 23 + 6p = 3(2p + 4) + -4p Reorder the terms: 23 + 6p = 3(4 + 2p) + -4p 23 + 6p = (4 * 3 + 2p * 3) + -4p 23 + 6p = (12 + 6p) + -4p Combine like terms: 6p + -4p = 2p 23 + 6p = 12 + 2p Solving 23 + 6p = 12 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 23 + 6p + -2p = 12 + 2p + -2p Combine like terms: 6p + -2p = 4p 23 + 4p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 23 + 4p = 12 + 0 23 + 4p = 12 Add '-23' to each side of the equation. 23 + -23 + 4p = 12 + -23 Combine like terms: 23 + -23 = 0 0 + 4p = 12 + -23 4p = 12 + -23 Combine like terms: 12 + -23 = -11 4p = -11 Divide each side by '4'. p = -2.75 Simplifying p = -2.75
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