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Simplifying -4(5p + 3) + -48 = 3(2p + 6) Reorder the terms: -4(3 + 5p) + -48 = 3(2p + 6) (3 * -4 + 5p * -4) + -48 = 3(2p + 6) (-12 + -20p) + -48 = 3(2p + 6) Reorder the terms: -12 + -48 + -20p = 3(2p + 6) Combine like terms: -12 + -48 = -60 -60 + -20p = 3(2p + 6) Reorder the terms: -60 + -20p = 3(6 + 2p) -60 + -20p = (6 * 3 + 2p * 3) -60 + -20p = (18 + 6p) Solving -60 + -20p = 18 + 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. -60 + -20p + -6p = 18 + 6p + -6p Combine like terms: -20p + -6p = -26p -60 + -26p = 18 + 6p + -6p Combine like terms: 6p + -6p = 0 -60 + -26p = 18 + 0 -60 + -26p = 18 Add '60' to each side of the equation. -60 + 60 + -26p = 18 + 60 Combine like terms: -60 + 60 = 0 0 + -26p = 18 + 60 -26p = 18 + 60 Combine like terms: 18 + 60 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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