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Simplifying 3p + -1 = (p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3p = (p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3p = (-1 + p) + -2(7 + -2p) Remove parenthesis around (-1 + p) -1 + 3p = -1 + p + -2(7 + -2p) -1 + 3p = -1 + p + (7 * -2 + -2p * -2) -1 + 3p = -1 + p + (-14 + 4p) Reorder the terms: -1 + 3p = -1 + -14 + p + 4p Combine like terms: -1 + -14 = -15 -1 + 3p = -15 + p + 4p Combine like terms: p + 4p = 5p -1 + 3p = -15 + 5p Solving -1 + 3p = -15 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + 3p + -5p = -15 + 5p + -5p Combine like terms: 3p + -5p = -2p -1 + -2p = -15 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + -2p = -15 + 0 -1 + -2p = -15 Add '1' to each side of the equation. -1 + 1 + -2p = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2p = -15 + 1 -2p = -15 + 1 Combine like terms: -15 + 1 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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