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Simplifying 3(6 + p) = 5p + 4 (6 * 3 + p * 3) = 5p + 4 (18 + 3p) = 5p + 4 Reorder the terms: 18 + 3p = 4 + 5p Solving 18 + 3p = 4 + 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. 18 + 3p + -5p = 4 + 5p + -5p Combine like terms: 3p + -5p = -2p 18 + -2p = 4 + 5p + -5p Combine like terms: 5p + -5p = 0 18 + -2p = 4 + 0 18 + -2p = 4 Add '-18' to each side of the equation. 18 + -18 + -2p = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -2p = 4 + -18 -2p = 4 + -18 Combine like terms: 4 + -18 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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