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Simplifying 2(p + 7) = 5p + 2 Reorder the terms: 2(7 + p) = 5p + 2 (7 * 2 + p * 2) = 5p + 2 (14 + 2p) = 5p + 2 Reorder the terms: 14 + 2p = 2 + 5p Solving 14 + 2p = 2 + 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 = 2 + 5p + -5p Combine like terms: 2p + -5p = -3p 14 + -3p = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 14 + -3p = 2 + 0 14 + -3p = 2 Add '-14' to each side of the equation. 14 + -14 + -3p = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -3p = 2 + -14 -3p = 2 + -14 Combine like terms: 2 + -14 = -12 -3p = -12 Divide each side by '-3'. p = 4 Simplifying p = 4
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