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Simplifying 7(2p + 6) + -8 = 6p + 29 Reorder the terms: 7(6 + 2p) + -8 = 6p + 29 (6 * 7 + 2p * 7) + -8 = 6p + 29 (42 + 14p) + -8 = 6p + 29 Reorder the terms: 42 + -8 + 14p = 6p + 29 Combine like terms: 42 + -8 = 34 34 + 14p = 6p + 29 Reorder the terms: 34 + 14p = 29 + 6p Solving 34 + 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. 34 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p 34 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 34 + 8p = 29 + 0 34 + 8p = 29 Add '-34' to each side of the equation. 34 + -34 + 8p = 29 + -34 Combine like terms: 34 + -34 = 0 0 + 8p = 29 + -34 8p = 29 + -34 Combine like terms: 29 + -34 = -5 8p = -5 Divide each side by '8'. p = -0.625 Simplifying p = -0.625
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