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Simplifying 80 + -2(p + 1) = -20 + 48p Reorder the terms: 80 + -2(1 + p) = -20 + 48p 80 + (1 * -2 + p * -2) = -20 + 48p 80 + (-2 + -2p) = -20 + 48p Combine like terms: 80 + -2 = 78 78 + -2p = -20 + 48p Solving 78 + -2p = -20 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. 78 + -2p + -48p = -20 + 48p + -48p Combine like terms: -2p + -48p = -50p 78 + -50p = -20 + 48p + -48p Combine like terms: 48p + -48p = 0 78 + -50p = -20 + 0 78 + -50p = -20 Add '-78' to each side of the equation. 78 + -78 + -50p = -20 + -78 Combine like terms: 78 + -78 = 0 0 + -50p = -20 + -78 -50p = -20 + -78 Combine like terms: -20 + -78 = -98 -50p = -98 Divide each side by '-50'. p = 1.96 Simplifying p = 1.96
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