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Simplifying 3(4p + 1) + 2(1 + -5p) = 2 + p Reorder the terms: 3(1 + 4p) + 2(1 + -5p) = 2 + p (1 * 3 + 4p * 3) + 2(1 + -5p) = 2 + p (3 + 12p) + 2(1 + -5p) = 2 + p 3 + 12p + (1 * 2 + -5p * 2) = 2 + p 3 + 12p + (2 + -10p) = 2 + p Reorder the terms: 3 + 2 + 12p + -10p = 2 + p Combine like terms: 3 + 2 = 5 5 + 12p + -10p = 2 + p Combine like terms: 12p + -10p = 2p 5 + 2p = 2 + p Solving 5 + 2p = 2 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 5 + 2p + -1p = 2 + p + -1p Combine like terms: 2p + -1p = 1p 5 + 1p = 2 + p + -1p Combine like terms: p + -1p = 0 5 + 1p = 2 + 0 5 + 1p = 2 Add '-5' to each side of the equation. 5 + -5 + 1p = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1p = 2 + -5 1p = 2 + -5 Combine like terms: 2 + -5 = -3 1p = -3 Divide each side by '1'. p = -3 Simplifying p = -3
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