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Simplifying -5(4p + -2) = -14 + 4p Reorder the terms: -5(-2 + 4p) = -14 + 4p (-2 * -5 + 4p * -5) = -14 + 4p (10 + -20p) = -14 + 4p Solving 10 + -20p = -14 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 10 + -20p + -4p = -14 + 4p + -4p Combine like terms: -20p + -4p = -24p 10 + -24p = -14 + 4p + -4p Combine like terms: 4p + -4p = 0 10 + -24p = -14 + 0 10 + -24p = -14 Add '-10' to each side of the equation. 10 + -10 + -24p = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -24p = -14 + -10 -24p = -14 + -10 Combine like terms: -14 + -10 = -24 -24p = -24 Divide each side by '-24'. p = 1 Simplifying p = 1
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