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Simplifying -4(2p + 4) + -12 = 2(3p + 7) Reorder the terms: -4(4 + 2p) + -12 = 2(3p + 7) (4 * -4 + 2p * -4) + -12 = 2(3p + 7) (-16 + -8p) + -12 = 2(3p + 7) Reorder the terms: -16 + -12 + -8p = 2(3p + 7) Combine like terms: -16 + -12 = -28 -28 + -8p = 2(3p + 7) Reorder the terms: -28 + -8p = 2(7 + 3p) -28 + -8p = (7 * 2 + 3p * 2) -28 + -8p = (14 + 6p) Solving -28 + -8p = 14 + 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. -28 + -8p + -6p = 14 + 6p + -6p Combine like terms: -8p + -6p = -14p -28 + -14p = 14 + 6p + -6p Combine like terms: 6p + -6p = 0 -28 + -14p = 14 + 0 -28 + -14p = 14 Add '28' to each side of the equation. -28 + 28 + -14p = 14 + 28 Combine like terms: -28 + 28 = 0 0 + -14p = 14 + 28 -14p = 14 + 28 Combine like terms: 14 + 28 = 42 -14p = 42 Divide each side by '-14'. p = -3 Simplifying p = -3
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