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Simplifying 2(p + 7) = 5(p + -7) Reorder the terms: 2(7 + p) = 5(p + -7) (7 * 2 + p * 2) = 5(p + -7) (14 + 2p) = 5(p + -7) Reorder the terms: 14 + 2p = 5(-7 + p) 14 + 2p = (-7 * 5 + p * 5) 14 + 2p = (-35 + 5p) Solving 14 + 2p = -35 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 14 + 2p + -5p = -35 + 5p + -5p Combine like terms: 2p + -5p = -3p 14 + -3p = -35 + 5p + -5p Combine like terms: 5p + -5p = 0 14 + -3p = -35 + 0 14 + -3p = -35 Add '-14' to each side of the equation. 14 + -14 + -3p = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -3p = -35 + -14 -3p = -35 + -14 Combine like terms: -35 + -14 = -49 -3p = -49 Divide each side by '-3'. p = 16.33333333 Simplifying p = 16.33333333
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