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Simplifying 7(p + 3) = 8p + 29 Reorder the terms: 7(3 + p) = 8p + 29 (3 * 7 + p * 7) = 8p + 29 (21 + 7p) = 8p + 29 Reorder the terms: 21 + 7p = 29 + 8p Solving 21 + 7p = 29 + 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. 21 + 7p + -8p = 29 + 8p + -8p Combine like terms: 7p + -8p = -1p 21 + -1p = 29 + 8p + -8p Combine like terms: 8p + -8p = 0 21 + -1p = 29 + 0 21 + -1p = 29 Add '-21' to each side of the equation. 21 + -21 + -1p = 29 + -21 Combine like terms: 21 + -21 = 0 0 + -1p = 29 + -21 -1p = 29 + -21 Combine like terms: 29 + -21 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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