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Simplifying -3(2p + 4) + -8 = -2(p + 5) + 2 Reorder the terms: -3(4 + 2p) + -8 = -2(p + 5) + 2 (4 * -3 + 2p * -3) + -8 = -2(p + 5) + 2 (-12 + -6p) + -8 = -2(p + 5) + 2 Reorder the terms: -12 + -8 + -6p = -2(p + 5) + 2 Combine like terms: -12 + -8 = -20 -20 + -6p = -2(p + 5) + 2 Reorder the terms: -20 + -6p = -2(5 + p) + 2 -20 + -6p = (5 * -2 + p * -2) + 2 -20 + -6p = (-10 + -2p) + 2 Reorder the terms: -20 + -6p = -10 + 2 + -2p Combine like terms: -10 + 2 = -8 -20 + -6p = -8 + -2p Solving -20 + -6p = -8 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -20 + -6p + 2p = -8 + -2p + 2p Combine like terms: -6p + 2p = -4p -20 + -4p = -8 + -2p + 2p Combine like terms: -2p + 2p = 0 -20 + -4p = -8 + 0 -20 + -4p = -8 Add '20' to each side of the equation. -20 + 20 + -4p = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -4p = -8 + 20 -4p = -8 + 20 Combine like terms: -8 + 20 = 12 -4p = 12 Divide each side by '-4'. p = -3 Simplifying p = -3
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