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Simplifying 3 + -1p + -1 = 5(p + -1) + -2(7 + -2p) Reorder the terms: 3 + -1 + -1p = 5(p + -1) + -2(7 + -2p) Combine like terms: 3 + -1 = 2 2 + -1p = 5(p + -1) + -2(7 + -2p) Reorder the terms: 2 + -1p = 5(-1 + p) + -2(7 + -2p) 2 + -1p = (-1 * 5 + p * 5) + -2(7 + -2p) 2 + -1p = (-5 + 5p) + -2(7 + -2p) 2 + -1p = -5 + 5p + (7 * -2 + -2p * -2) 2 + -1p = -5 + 5p + (-14 + 4p) Reorder the terms: 2 + -1p = -5 + -14 + 5p + 4p Combine like terms: -5 + -14 = -19 2 + -1p = -19 + 5p + 4p Combine like terms: 5p + 4p = 9p 2 + -1p = -19 + 9p Solving 2 + -1p = -19 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 2 + -1p + -9p = -19 + 9p + -9p Combine like terms: -1p + -9p = -10p 2 + -10p = -19 + 9p + -9p Combine like terms: 9p + -9p = 0 2 + -10p = -19 + 0 2 + -10p = -19 Add '-2' to each side of the equation. 2 + -2 + -10p = -19 + -2 Combine like terms: 2 + -2 = 0 0 + -10p = -19 + -2 -10p = -19 + -2 Combine like terms: -19 + -2 = -21 -10p = -21 Divide each side by '-10'. p = 2.1 Simplifying p = 2.1
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