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Simplifying 3p + -1 = 5(p + -1) + -2(2p + 7) Reorder the terms: -1 + 3p = 5(p + -1) + -2(2p + 7) Reorder the terms: -1 + 3p = 5(-1 + p) + -2(2p + 7) -1 + 3p = (-1 * 5 + p * 5) + -2(2p + 7) -1 + 3p = (-5 + 5p) + -2(2p + 7) Reorder the terms: -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 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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