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Simplifying -4(5p + 3) + -48 = 2(2p + 6) Reorder the terms: -4(3 + 5p) + -48 = 2(2p + 6) (3 * -4 + 5p * -4) + -48 = 2(2p + 6) (-12 + -20p) + -48 = 2(2p + 6) Reorder the terms: -12 + -48 + -20p = 2(2p + 6) Combine like terms: -12 + -48 = -60 -60 + -20p = 2(2p + 6) Reorder the terms: -60 + -20p = 2(6 + 2p) -60 + -20p = (6 * 2 + 2p * 2) -60 + -20p = (12 + 4p) Solving -60 + -20p = 12 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -60 + -20p + -4p = 12 + 4p + -4p Combine like terms: -20p + -4p = -24p -60 + -24p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -60 + -24p = 12 + 0 -60 + -24p = 12 Add '60' to each side of the equation. -60 + 60 + -24p = 12 + 60 Combine like terms: -60 + 60 = 0 0 + -24p = 12 + 60 -24p = 12 + 60 Combine like terms: 12 + 60 = 72 -24p = 72 Divide each side by '-24'. p = -3 Simplifying p = -3
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