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Simplifying 3p + -2(4 + -5p) = 5 + -3p 3p + (4 * -2 + -5p * -2) = 5 + -3p 3p + (-8 + 10p) = 5 + -3p Reorder the terms: -8 + 3p + 10p = 5 + -3p Combine like terms: 3p + 10p = 13p -8 + 13p = 5 + -3p Solving -8 + 13p = 5 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -8 + 13p + 3p = 5 + -3p + 3p Combine like terms: 13p + 3p = 16p -8 + 16p = 5 + -3p + 3p Combine like terms: -3p + 3p = 0 -8 + 16p = 5 + 0 -8 + 16p = 5 Add '8' to each side of the equation. -8 + 8 + 16p = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 16p = 5 + 8 16p = 5 + 8 Combine like terms: 5 + 8 = 13 16p = 13 Divide each side by '16'. p = 0.8125 Simplifying p = 0.8125
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