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Simplifying 7(2p + 3) = 6p + 29 Reorder the terms: 7(3 + 2p) = 6p + 29 (3 * 7 + 2p * 7) = 6p + 29 (21 + 14p) = 6p + 29 Reorder the terms: 21 + 14p = 29 + 6p Solving 21 + 14p = 29 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 21 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p 21 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 21 + 8p = 29 + 0 21 + 8p = 29 Add '-21' to each side of the equation. 21 + -21 + 8p = 29 + -21 Combine like terms: 21 + -21 = 0 0 + 8p = 29 + -21 8p = 29 + -21 Combine like terms: 29 + -21 = 8 8p = 8 Divide each side by '8'. p = 1 Simplifying p = 1
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