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Simplifying 3p + 1 = 5(p + -1) + -2(7 + 2p) Reorder the terms: 1 + 3p = 5(p + -1) + -2(7 + 2p) Reorder the terms: 1 + 3p = 5(-1 + p) + -2(7 + 2p) 1 + 3p = (-1 * 5 + p * 5) + -2(7 + 2p) 1 + 3p = (-5 + 5p) + -2(7 + 2p) 1 + 3p = -5 + 5p + (7 * -2 + 2p * -2) 1 + 3p = -5 + 5p + (-14 + -4p) Reorder the terms: 1 + 3p = -5 + -14 + 5p + -4p Combine like terms: -5 + -14 = -19 1 + 3p = -19 + 5p + -4p Combine like terms: 5p + -4p = 1p 1 + 3p = -19 + 1p Solving 1 + 3p = -19 + 1p 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. 1 + 3p + -1p = -19 + 1p + -1p Combine like terms: 3p + -1p = 2p 1 + 2p = -19 + 1p + -1p Combine like terms: 1p + -1p = 0 1 + 2p = -19 + 0 1 + 2p = -19 Add '-1' to each side of the equation. 1 + -1 + 2p = -19 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = -19 + -1 2p = -19 + -1 Combine like terms: -19 + -1 = -20 2p = -20 Divide each side by '2'. p = -10 Simplifying p = -10
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