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Simplifying 3p + 4 = 2(p + 11) Reorder the terms: 4 + 3p = 2(p + 11) Reorder the terms: 4 + 3p = 2(11 + p) 4 + 3p = (11 * 2 + p * 2) 4 + 3p = (22 + 2p) Solving 4 + 3p = 22 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4 + 3p + -2p = 22 + 2p + -2p Combine like terms: 3p + -2p = 1p 4 + 1p = 22 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 1p = 22 + 0 4 + 1p = 22 Add '-4' to each side of the equation. 4 + -4 + 1p = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 1p = 22 + -4 1p = 22 + -4 Combine like terms: 22 + -4 = 18 1p = 18 Divide each side by '1'. p = 18 Simplifying p = 18
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