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Simplifying 7(2p + 1) = 44.5 + -1p Reorder the terms: 7(1 + 2p) = 44.5 + -1p (1 * 7 + 2p * 7) = 44.5 + -1p (7 + 14p) = 44.5 + -1p Solving 7 + 14p = 44.5 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 7 + 14p + p = 44.5 + -1p + p Combine like terms: 14p + p = 15p 7 + 15p = 44.5 + -1p + p Combine like terms: -1p + p = 0 7 + 15p = 44.5 + 0 7 + 15p = 44.5 Add '-7' to each side of the equation. 7 + -7 + 15p = 44.5 + -7 Combine like terms: 7 + -7 = 0 0 + 15p = 44.5 + -7 15p = 44.5 + -7 Combine like terms: 44.5 + -7 = 37.5 15p = 37.5 Divide each side by '15'. p = 2.5 Simplifying p = 2.5
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