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