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Simplifying 3(p + 6) = 8p + 8 Reorder the terms: 3(6 + p) = 8p + 8 (6 * 3 + p * 3) = 8p + 8 (18 + 3p) = 8p + 8 Reorder the terms: 18 + 3p = 8 + 8p Solving 18 + 3p = 8 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 18 + 3p + -8p = 8 + 8p + -8p Combine like terms: 3p + -8p = -5p 18 + -5p = 8 + 8p + -8p Combine like terms: 8p + -8p = 0 18 + -5p = 8 + 0 18 + -5p = 8 Add '-18' to each side of the equation. 18 + -18 + -5p = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -5p = 8 + -18 -5p = 8 + -18 Combine like terms: 8 + -18 = -10 -5p = -10 Divide each side by '-5'. p = 2 Simplifying p = 2
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