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Simplifying 3(2p + 8) = 6(p + 3) + -8p Reorder the terms: 3(8 + 2p) = 6(p + 3) + -8p (8 * 3 + 2p * 3) = 6(p + 3) + -8p (24 + 6p) = 6(p + 3) + -8p Reorder the terms: 24 + 6p = 6(3 + p) + -8p 24 + 6p = (3 * 6 + p * 6) + -8p 24 + 6p = (18 + 6p) + -8p Combine like terms: 6p + -8p = -2p 24 + 6p = 18 + -2p Solving 24 + 6p = 18 + -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. 24 + 6p + 2p = 18 + -2p + 2p Combine like terms: 6p + 2p = 8p 24 + 8p = 18 + -2p + 2p Combine like terms: -2p + 2p = 0 24 + 8p = 18 + 0 24 + 8p = 18 Add '-24' to each side of the equation. 24 + -24 + 8p = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 8p = 18 + -24 8p = 18 + -24 Combine like terms: 18 + -24 = -6 8p = -6 Divide each side by '8'. p = -0.75 Simplifying p = -0.75
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