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Simplifying 2(p + 11) = 5(p + 2) Reorder the terms: 2(11 + p) = 5(p + 2) (11 * 2 + p * 2) = 5(p + 2) (22 + 2p) = 5(p + 2) Reorder the terms: 22 + 2p = 5(2 + p) 22 + 2p = (2 * 5 + p * 5) 22 + 2p = (10 + 5p) Solving 22 + 2p = 10 + 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. 22 + 2p + -5p = 10 + 5p + -5p Combine like terms: 2p + -5p = -3p 22 + -3p = 10 + 5p + -5p Combine like terms: 5p + -5p = 0 22 + -3p = 10 + 0 22 + -3p = 10 Add '-22' to each side of the equation. 22 + -22 + -3p = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -3p = 10 + -22 -3p = 10 + -22 Combine like terms: 10 + -22 = -12 -3p = -12 Divide each side by '-3'. p = 4 Simplifying p = 4
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