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Simplifying 4(2p + 1) = 6p Reorder the terms: 4(1 + 2p) = 6p (1 * 4 + 2p * 4) = 6p (4 + 8p) = 6p Solving 4 + 8p = 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. 4 + 8p + -6p = 6p + -6p Combine like terms: 8p + -6p = 2p 4 + 2p = 6p + -6p Combine like terms: 6p + -6p = 0 4 + 2p = 0 Add '-4' to each side of the equation. 4 + -4 + 2p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2p = 0 + -4 2p = 0 + -4 Combine like terms: 0 + -4 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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