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Simplifying -5(4p + 2) + -48 = 2(2p + 7) Reorder the terms: -5(2 + 4p) + -48 = 2(2p + 7) (2 * -5 + 4p * -5) + -48 = 2(2p + 7) (-10 + -20p) + -48 = 2(2p + 7) Reorder the terms: -10 + -48 + -20p = 2(2p + 7) Combine like terms: -10 + -48 = -58 -58 + -20p = 2(2p + 7) Reorder the terms: -58 + -20p = 2(7 + 2p) -58 + -20p = (7 * 2 + 2p * 2) -58 + -20p = (14 + 4p) Solving -58 + -20p = 14 + 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. -58 + -20p + -4p = 14 + 4p + -4p Combine like terms: -20p + -4p = -24p -58 + -24p = 14 + 4p + -4p Combine like terms: 4p + -4p = 0 -58 + -24p = 14 + 0 -58 + -24p = 14 Add '58' to each side of the equation. -58 + 58 + -24p = 14 + 58 Combine like terms: -58 + 58 = 0 0 + -24p = 14 + 58 -24p = 14 + 58 Combine like terms: 14 + 58 = 72 -24p = 72 Divide each side by '-24'. p = -3 Simplifying p = -3
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