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Simplifying -4(-2p + 5) = -2(-3p + 8) Reorder the terms: -4(5 + -2p) = -2(-3p + 8) (5 * -4 + -2p * -4) = -2(-3p + 8) (-20 + 8p) = -2(-3p + 8) Reorder the terms: -20 + 8p = -2(8 + -3p) -20 + 8p = (8 * -2 + -3p * -2) -20 + 8p = (-16 + 6p) Solving -20 + 8p = -16 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -20 + 8p + -6p = -16 + 6p + -6p Combine like terms: 8p + -6p = 2p -20 + 2p = -16 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 2p = -16 + 0 -20 + 2p = -16 Add '20' to each side of the equation. -20 + 20 + 2p = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -16 + 20 2p = -16 + 20 Combine like terms: -16 + 20 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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