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Simplifying -4(2p + 4) + -24 = 2(3p + 8) Reorder the terms: -4(4 + 2p) + -24 = 2(3p + 8) (4 * -4 + 2p * -4) + -24 = 2(3p + 8) (-16 + -8p) + -24 = 2(3p + 8) Reorder the terms: -16 + -24 + -8p = 2(3p + 8) Combine like terms: -16 + -24 = -40 -40 + -8p = 2(3p + 8) Reorder the terms: -40 + -8p = 2(8 + 3p) -40 + -8p = (8 * 2 + 3p * 2) -40 + -8p = (16 + 6p) Solving -40 + -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. -40 + -8p + -6p = 16 + 6p + -6p Combine like terms: -8p + -6p = -14p -40 + -14p = 16 + 6p + -6p Combine like terms: 6p + -6p = 0 -40 + -14p = 16 + 0 -40 + -14p = 16 Add '40' to each side of the equation. -40 + 40 + -14p = 16 + 40 Combine like terms: -40 + 40 = 0 0 + -14p = 16 + 40 -14p = 16 + 40 Combine like terms: 16 + 40 = 56 -14p = 56 Divide each side by '-14'. p = -4 Simplifying p = -4
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