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Simplifying 7(2p + 3) + -8 = 6p + 29 Reorder the terms: 7(3 + 2p) + -8 = 6p + 29 (3 * 7 + 2p * 7) + -8 = 6p + 29 (21 + 14p) + -8 = 6p + 29 Reorder the terms: 21 + -8 + 14p = 6p + 29 Combine like terms: 21 + -8 = 13 13 + 14p = 6p + 29 Reorder the terms: 13 + 14p = 29 + 6p Solving 13 + 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. 13 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p 13 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 13 + 8p = 29 + 0 13 + 8p = 29 Add '-13' to each side of the equation. 13 + -13 + 8p = 29 + -13 Combine like terms: 13 + -13 = 0 0 + 8p = 29 + -13 8p = 29 + -13 Combine like terms: 29 + -13 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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