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Simplifying 7(2p + 2) + -8 = 6p + 29 Reorder the terms: 7(2 + 2p) + -8 = 6p + 29 (2 * 7 + 2p * 7) + -8 = 6p + 29 (14 + 14p) + -8 = 6p + 29 Reorder the terms: 14 + -8 + 14p = 6p + 29 Combine like terms: 14 + -8 = 6 6 + 14p = 6p + 29 Reorder the terms: 6 + 14p = 29 + 6p Solving 6 + 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. 6 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p 6 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 6 + 8p = 29 + 0 6 + 8p = 29 Add '-6' to each side of the equation. 6 + -6 + 8p = 29 + -6 Combine like terms: 6 + -6 = 0 0 + 8p = 29 + -6 8p = 29 + -6 Combine like terms: 29 + -6 = 23 8p = 23 Divide each side by '8'. p = 2.875 Simplifying p = 2.875
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