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Simplifying 4(2p + 3) = 2(p + 8) Reorder the terms: 4(3 + 2p) = 2(p + 8) (3 * 4 + 2p * 4) = 2(p + 8) (12 + 8p) = 2(p + 8) Reorder the terms: 12 + 8p = 2(8 + p) 12 + 8p = (8 * 2 + p * 2) 12 + 8p = (16 + 2p) Solving 12 + 8p = 16 + 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. 12 + 8p + -2p = 16 + 2p + -2p Combine like terms: 8p + -2p = 6p 12 + 6p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 6p = 16 + 0 12 + 6p = 16 Add '-12' to each side of the equation. 12 + -12 + 6p = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 6p = 16 + -12 6p = 16 + -12 Combine like terms: 16 + -12 = 4 6p = 4 Divide each side by '6'. p = 0.6666666667 Simplifying p = 0.6666666667
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