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Simplifying 3(5p + -2) = 7(p + -2) + 4p Reorder the terms: 3(-2 + 5p) = 7(p + -2) + 4p (-2 * 3 + 5p * 3) = 7(p + -2) + 4p (-6 + 15p) = 7(p + -2) + 4p Reorder the terms: -6 + 15p = 7(-2 + p) + 4p -6 + 15p = (-2 * 7 + p * 7) + 4p -6 + 15p = (-14 + 7p) + 4p Combine like terms: 7p + 4p = 11p -6 + 15p = -14 + 11p Solving -6 + 15p = -14 + 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 = -14 + 11p + -11p Combine like terms: 15p + -11p = 4p -6 + 4p = -14 + 11p + -11p Combine like terms: 11p + -11p = 0 -6 + 4p = -14 + 0 -6 + 4p = -14 Add '6' to each side of the equation. -6 + 6 + 4p = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -14 + 6 4p = -14 + 6 Combine like terms: -14 + 6 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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