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Simplifying 7(2p + 5) = 6p + 29 Reorder the terms: 7(5 + 2p) = 6p + 29 (5 * 7 + 2p * 7) = 6p + 29 (35 + 14p) = 6p + 29 Reorder the terms: 35 + 14p = 29 + 6p Solving 35 + 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. 35 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p 35 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 35 + 8p = 29 + 0 35 + 8p = 29 Add '-35' to each side of the equation. 35 + -35 + 8p = 29 + -35 Combine like terms: 35 + -35 = 0 0 + 8p = 29 + -35 8p = 29 + -35 Combine like terms: 29 + -35 = -6 8p = -6 Divide each side by '8'. p = -0.75 Simplifying p = -0.75
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