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Simplifying 46 + 10p = -4(14 + -11p) 46 + 10p = (14 * -4 + -11p * -4) 46 + 10p = (-56 + 44p) Solving 46 + 10p = -56 + 44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44p' to each side of the equation. 46 + 10p + -44p = -56 + 44p + -44p Combine like terms: 10p + -44p = -34p 46 + -34p = -56 + 44p + -44p Combine like terms: 44p + -44p = 0 46 + -34p = -56 + 0 46 + -34p = -56 Add '-46' to each side of the equation. 46 + -46 + -34p = -56 + -46 Combine like terms: 46 + -46 = 0 0 + -34p = -56 + -46 -34p = -56 + -46 Combine like terms: -56 + -46 = -102 -34p = -102 Divide each side by '-34'. p = 3 Simplifying p = 3
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