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Simplifying 3p + -1 = 5(p + -1) + -3(7 + -2p) Reorder the terms: -1 + 3p = 5(p + -1) + -3(7 + -2p) Reorder the terms: -1 + 3p = 5(-1 + p) + -3(7 + -2p) -1 + 3p = (-1 * 5 + p * 5) + -3(7 + -2p) -1 + 3p = (-5 + 5p) + -3(7 + -2p) -1 + 3p = -5 + 5p + (7 * -3 + -2p * -3) -1 + 3p = -5 + 5p + (-21 + 6p) Reorder the terms: -1 + 3p = -5 + -21 + 5p + 6p Combine like terms: -5 + -21 = -26 -1 + 3p = -26 + 5p + 6p Combine like terms: 5p + 6p = 11p -1 + 3p = -26 + 11p Solving -1 + 3p = -26 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -1 + 3p + -11p = -26 + 11p + -11p Combine like terms: 3p + -11p = -8p -1 + -8p = -26 + 11p + -11p Combine like terms: 11p + -11p = 0 -1 + -8p = -26 + 0 -1 + -8p = -26 Add '1' to each side of the equation. -1 + 1 + -8p = -26 + 1 Combine like terms: -1 + 1 = 0 0 + -8p = -26 + 1 -8p = -26 + 1 Combine like terms: -26 + 1 = -25 -8p = -25 Divide each side by '-8'. p = 3.125 Simplifying p = 3.125
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