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Simplifying 2(p + 8) + -4p = 3(2p + -8) Reorder the terms: 2(8 + p) + -4p = 3(2p + -8) (8 * 2 + p * 2) + -4p = 3(2p + -8) (16 + 2p) + -4p = 3(2p + -8) Combine like terms: 2p + -4p = -2p 16 + -2p = 3(2p + -8) Reorder the terms: 16 + -2p = 3(-8 + 2p) 16 + -2p = (-8 * 3 + 2p * 3) 16 + -2p = (-24 + 6p) Solving 16 + -2p = -24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 16 + -2p + -6p = -24 + 6p + -6p Combine like terms: -2p + -6p = -8p 16 + -8p = -24 + 6p + -6p Combine like terms: 6p + -6p = 0 16 + -8p = -24 + 0 16 + -8p = -24 Add '-16' to each side of the equation. 16 + -16 + -8p = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -8p = -24 + -16 -8p = -24 + -16 Combine like terms: -24 + -16 = -40 -8p = -40 Divide each side by '-8'. p = 5 Simplifying p = 5
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