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Simplifying 2(2 + 2p) = 7(7 + p) (2 * 2 + 2p * 2) = 7(7 + p) (4 + 4p) = 7(7 + p) 4 + 4p = (7 * 7 + p * 7) 4 + 4p = (49 + 7p) Solving 4 + 4p = 49 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 4 + 4p + -7p = 49 + 7p + -7p Combine like terms: 4p + -7p = -3p 4 + -3p = 49 + 7p + -7p Combine like terms: 7p + -7p = 0 4 + -3p = 49 + 0 4 + -3p = 49 Add '-4' to each side of the equation. 4 + -4 + -3p = 49 + -4 Combine like terms: 4 + -4 = 0 0 + -3p = 49 + -4 -3p = 49 + -4 Combine like terms: 49 + -4 = 45 -3p = 45 Divide each side by '-3'. p = -15 Simplifying p = -15
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