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Simplifying 2(3p + 1) = 4p + 3 Reorder the terms: 2(1 + 3p) = 4p + 3 (1 * 2 + 3p * 2) = 4p + 3 (2 + 6p) = 4p + 3 Reorder the terms: 2 + 6p = 3 + 4p Solving 2 + 6p = 3 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 2 + 6p + -4p = 3 + 4p + -4p Combine like terms: 6p + -4p = 2p 2 + 2p = 3 + 4p + -4p Combine like terms: 4p + -4p = 0 2 + 2p = 3 + 0 2 + 2p = 3 Add '-2' to each side of the equation. 2 + -2 + 2p = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 2p = 3 + -2 2p = 3 + -2 Combine like terms: 3 + -2 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5
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