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Simplifying 3p + -1 = (5p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3p = (5p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3p = (-1 + 5p) + -2(7 + -2p) Remove parenthesis around (-1 + 5p) -1 + 3p = -1 + 5p + -2(7 + -2p) -1 + 3p = -1 + 5p + (7 * -2 + -2p * -2) -1 + 3p = -1 + 5p + (-14 + 4p) Reorder the terms: -1 + 3p = -1 + -14 + 5p + 4p Combine like terms: -1 + -14 = -15 -1 + 3p = -15 + 5p + 4p Combine like terms: 5p + 4p = 9p -1 + 3p = -15 + 9p Solving -1 + 3p = -15 + 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. -1 + 3p + -9p = -15 + 9p + -9p Combine like terms: 3p + -9p = -6p -1 + -6p = -15 + 9p + -9p Combine like terms: 9p + -9p = 0 -1 + -6p = -15 + 0 -1 + -6p = -15 Add '1' to each side of the equation. -1 + 1 + -6p = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -6p = -15 + 1 -6p = -15 + 1 Combine like terms: -15 + 1 = -14 -6p = -14 Divide each side by '-6'. p = 2.333333333 Simplifying p = 2.333333333
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