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Simplifying 7(2p + -3) + -8 = 6p + 29 Reorder the terms: 7(-3 + 2p) + -8 = 6p + 29 (-3 * 7 + 2p * 7) + -8 = 6p + 29 (-21 + 14p) + -8 = 6p + 29 Reorder the terms: -21 + -8 + 14p = 6p + 29 Combine like terms: -21 + -8 = -29 -29 + 14p = 6p + 29 Reorder the terms: -29 + 14p = 29 + 6p Solving -29 + 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. -29 + 14p + -6p = 29 + 6p + -6p Combine like terms: 14p + -6p = 8p -29 + 8p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 -29 + 8p = 29 + 0 -29 + 8p = 29 Add '29' to each side of the equation. -29 + 29 + 8p = 29 + 29 Combine like terms: -29 + 29 = 0 0 + 8p = 29 + 29 8p = 29 + 29 Combine like terms: 29 + 29 = 58 8p = 58 Divide each side by '8'. p = 7.25 Simplifying p = 7.25
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