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Simplifying -1(3 + 4p) + 2p = -1(5p + 3) (3 * -1 + 4p * -1) + 2p = -1(5p + 3) (-3 + -4p) + 2p = -1(5p + 3) Combine like terms: -4p + 2p = -2p -3 + -2p = -1(5p + 3) Reorder the terms: -3 + -2p = -1(3 + 5p) -3 + -2p = (3 * -1 + 5p * -1) -3 + -2p = (-3 + -5p) Add '3' to each side of the equation. -3 + 3 + -2p = -3 + 3 + -5p Combine like terms: -3 + 3 = 0 0 + -2p = -3 + 3 + -5p -2p = -3 + 3 + -5p Combine like terms: -3 + 3 = 0 -2p = 0 + -5p -2p = -5p Solving -2p = -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. -2p + 5p = -5p + 5p Combine like terms: -2p + 5p = 3p 3p = -5p + 5p Combine like terms: -5p + 5p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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