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Simplifying -4(5p + 3) + -48 = 5(2p + 6) Reorder the terms: -4(3 + 5p) + -48 = 5(2p + 6) (3 * -4 + 5p * -4) + -48 = 5(2p + 6) (-12 + -20p) + -48 = 5(2p + 6) Reorder the terms: -12 + -48 + -20p = 5(2p + 6) Combine like terms: -12 + -48 = -60 -60 + -20p = 5(2p + 6) Reorder the terms: -60 + -20p = 5(6 + 2p) -60 + -20p = (6 * 5 + 2p * 5) -60 + -20p = (30 + 10p) Solving -60 + -20p = 30 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -60 + -20p + -10p = 30 + 10p + -10p Combine like terms: -20p + -10p = -30p -60 + -30p = 30 + 10p + -10p Combine like terms: 10p + -10p = 0 -60 + -30p = 30 + 0 -60 + -30p = 30 Add '60' to each side of the equation. -60 + 60 + -30p = 30 + 60 Combine like terms: -60 + 60 = 0 0 + -30p = 30 + 60 -30p = 30 + 60 Combine like terms: 30 + 60 = 90 -30p = 90 Divide each side by '-30'. p = -3 Simplifying p = -3
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