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Simplifying -4(2p + 4) + -48 = 3(3p + 7) Reorder the terms: -4(4 + 2p) + -48 = 3(3p + 7) (4 * -4 + 2p * -4) + -48 = 3(3p + 7) (-16 + -8p) + -48 = 3(3p + 7) Reorder the terms: -16 + -48 + -8p = 3(3p + 7) Combine like terms: -16 + -48 = -64 -64 + -8p = 3(3p + 7) Reorder the terms: -64 + -8p = 3(7 + 3p) -64 + -8p = (7 * 3 + 3p * 3) -64 + -8p = (21 + 9p) Solving -64 + -8p = 21 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -64 + -8p + -9p = 21 + 9p + -9p Combine like terms: -8p + -9p = -17p -64 + -17p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -64 + -17p = 21 + 0 -64 + -17p = 21 Add '64' to each side of the equation. -64 + 64 + -17p = 21 + 64 Combine like terms: -64 + 64 = 0 0 + -17p = 21 + 64 -17p = 21 + 64 Combine like terms: 21 + 64 = 85 -17p = 85 Divide each side by '-17'. p = -5 Simplifying p = -5
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