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Simplifying -1p + 3(1 + 2p) = 4(2 + p) -1p + (1 * 3 + 2p * 3) = 4(2 + p) -1p + (3 + 6p) = 4(2 + p) Reorder the terms: 3 + -1p + 6p = 4(2 + p) Combine like terms: -1p + 6p = 5p 3 + 5p = 4(2 + p) 3 + 5p = (2 * 4 + p * 4) 3 + 5p = (8 + 4p) Solving 3 + 5p = 8 + 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. 3 + 5p + -4p = 8 + 4p + -4p Combine like terms: 5p + -4p = 1p 3 + 1p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + 1p = 8 + 0 3 + 1p = 8 Add '-3' to each side of the equation. 3 + -3 + 1p = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1p = 8 + -3 1p = 8 + -3 Combine like terms: 8 + -3 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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