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Simplifying -35 = -5(5 + -2p) + -2(5 + -3p) -35 = (5 * -5 + -2p * -5) + -2(5 + -3p) -35 = (-25 + 10p) + -2(5 + -3p) -35 = -25 + 10p + (5 * -2 + -3p * -2) -35 = -25 + 10p + (-10 + 6p) Reorder the terms: -35 = -25 + -10 + 10p + 6p Combine like terms: -25 + -10 = -35 -35 = -35 + 10p + 6p Combine like terms: 10p + 6p = 16p -35 = -35 + 16p Add '35' to each side of the equation. -35 + 35 = -35 + 35 + 16p Combine like terms: -35 + 35 = 0 0 = -35 + 35 + 16p Combine like terms: -35 + 35 = 0 0 = 0 + 16p 0 = 16p Solving 0 = 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 0 + -16p = 16p + -16p Remove the zero: -16p = 16p + -16p Combine like terms: 16p + -16p = 0 -16p = 0 Divide each side by '-16'. p = 0 Simplifying p = 0
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