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Simplifying 3p + -1 = (5 + -1) + -2(7 + -2p) Reorder the terms: -1 + 3p = (5 + -1) + -2(7 + -2p) Combine like terms: 5 + -1 = 4 -1 + 3p = (4) + -2(7 + -2p) -1 + 3p = 4 + -2(7 + -2p) -1 + 3p = 4 + (7 * -2 + -2p * -2) -1 + 3p = 4 + (-14 + 4p) Combine like terms: 4 + -14 = -10 -1 + 3p = -10 + 4p Solving -1 + 3p = -10 + 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. -1 + 3p + -4p = -10 + 4p + -4p Combine like terms: 3p + -4p = -1p -1 + -1p = -10 + 4p + -4p Combine like terms: 4p + -4p = 0 -1 + -1p = -10 + 0 -1 + -1p = -10 Add '1' to each side of the equation. -1 + 1 + -1p = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = -10 + 1 -1p = -10 + 1 Combine like terms: -10 + 1 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9
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