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Simplifying -4(2p + 4) + -2 = 2(3p + 5) Reorder the terms: -4(4 + 2p) + -2 = 2(3p + 5) (4 * -4 + 2p * -4) + -2 = 2(3p + 5) (-16 + -8p) + -2 = 2(3p + 5) Reorder the terms: -16 + -2 + -8p = 2(3p + 5) Combine like terms: -16 + -2 = -18 -18 + -8p = 2(3p + 5) Reorder the terms: -18 + -8p = 2(5 + 3p) -18 + -8p = (5 * 2 + 3p * 2) -18 + -8p = (10 + 6p) Solving -18 + -8p = 10 + 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. -18 + -8p + -6p = 10 + 6p + -6p Combine like terms: -8p + -6p = -14p -18 + -14p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + -14p = 10 + 0 -18 + -14p = 10 Add '18' to each side of the equation. -18 + 18 + -14p = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -14p = 10 + 18 -14p = 10 + 18 Combine like terms: 10 + 18 = 28 -14p = 28 Divide each side by '-14'. p = -2 Simplifying p = -2
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