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Simplifying 3(1 + 2p) = 4(1 + p) + p (1 * 3 + 2p * 3) = 4(1 + p) + p (3 + 6p) = 4(1 + p) + p 3 + 6p = (1 * 4 + p * 4) + p 3 + 6p = (4 + 4p) + p Combine like terms: 4p + p = 5p 3 + 6p = 4 + 5p Solving 3 + 6p = 4 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 3 + 6p + -5p = 4 + 5p + -5p Combine like terms: 6p + -5p = 1p 3 + 1p = 4 + 5p + -5p Combine like terms: 5p + -5p = 0 3 + 1p = 4 + 0 3 + 1p = 4 Add '-3' to each side of the equation. 3 + -3 + 1p = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 1p = 4 + -3 1p = 4 + -3 Combine like terms: 4 + -3 = 1 1p = 1 Divide each side by '1'. p = 1 Simplifying p = 1
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