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Simplifying 7p + -2(3 + -4p) = 12p + -1(p + 4) 7p + (3 * -2 + -4p * -2) = 12p + -1(p + 4) 7p + (-6 + 8p) = 12p + -1(p + 4) Reorder the terms: -6 + 7p + 8p = 12p + -1(p + 4) Combine like terms: 7p + 8p = 15p -6 + 15p = 12p + -1(p + 4) Reorder the terms: -6 + 15p = 12p + -1(4 + p) -6 + 15p = 12p + (4 * -1 + p * -1) -6 + 15p = 12p + (-4 + -1p) Reorder the terms: -6 + 15p = -4 + 12p + -1p Combine like terms: 12p + -1p = 11p -6 + 15p = -4 + 11p Solving -6 + 15p = -4 + 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. -6 + 15p + -11p = -4 + 11p + -11p Combine like terms: 15p + -11p = 4p -6 + 4p = -4 + 11p + -11p Combine like terms: 11p + -11p = 0 -6 + 4p = -4 + 0 -6 + 4p = -4 Add '6' to each side of the equation. -6 + 6 + 4p = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -4 + 6 4p = -4 + 6 Combine like terms: -4 + 6 = 2 4p = 2 Divide each side by '4'. p = 0.5 Simplifying p = 0.5
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