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Simplifying 7(2p + 8) + -8 = 6p + 29 Reorder the terms: 7(8 + 2p) + -8 = 6p + 29 (8 * 7 + 2p * 7) + -8 = 6p + 29 (56 + 14p) + -8 = 6p + 29 Reorder the terms: 56 + -8 + 14p = 6p + 29 Combine like terms: 56 + -8 = 48 48 + 14p = 6p + 29 Reorder the terms: 48 + 14p = 29 + 6p Solving 48 + 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. 48 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p 48 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 48 + 8p = 29 + 0 48 + 8p = 29 Add '-48' to each side of the equation. 48 + -48 + 8p = 29 + -48 Combine like terms: 48 + -48 = 0 0 + 8p = 29 + -48 8p = 29 + -48 Combine like terms: 29 + -48 = -19 8p = -19 Divide each side by '8'. p = -2.375 Simplifying p = -2.375
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