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Simplifying -2(3p + 8) = -4(2p + -10) Reorder the terms: -2(8 + 3p) = -4(2p + -10) (8 * -2 + 3p * -2) = -4(2p + -10) (-16 + -6p) = -4(2p + -10) Reorder the terms: -16 + -6p = -4(-10 + 2p) -16 + -6p = (-10 * -4 + 2p * -4) -16 + -6p = (40 + -8p) Solving -16 + -6p = 40 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -16 + -6p + 8p = 40 + -8p + 8p Combine like terms: -6p + 8p = 2p -16 + 2p = 40 + -8p + 8p Combine like terms: -8p + 8p = 0 -16 + 2p = 40 + 0 -16 + 2p = 40 Add '16' to each side of the equation. -16 + 16 + 2p = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = 40 + 16 2p = 40 + 16 Combine like terms: 40 + 16 = 56 2p = 56 Divide each side by '2'. p = 28 Simplifying p = 28
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