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Simplifying 7(2p + 5) + -8 = 6p + 29 Reorder the terms: 7(5 + 2p) + -8 = 6p + 29 (5 * 7 + 2p * 7) + -8 = 6p + 29 (35 + 14p) + -8 = 6p + 29 Reorder the terms: 35 + -8 + 14p = 6p + 29 Combine like terms: 35 + -8 = 27 27 + 14p = 6p + 29 Reorder the terms: 27 + 14p = 29 + 6p Solving 27 + 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. 27 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p 27 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 27 + 8p = 29 + 0 27 + 8p = 29 Add '-27' to each side of the equation. 27 + -27 + 8p = 29 + -27 Combine like terms: 27 + -27 = 0 0 + 8p = 29 + -27 8p = 29 + -27 Combine like terms: 29 + -27 = 2 8p = 2 Divide each side by '8'. p = 0.25 Simplifying p = 0.25
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