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Simplifying 7(2p + 3) + -8 = 6p + 2p Reorder the terms: 7(3 + 2p) + -8 = 6p + 2p (3 * 7 + 2p * 7) + -8 = 6p + 2p (21 + 14p) + -8 = 6p + 2p Reorder the terms: 21 + -8 + 14p = 6p + 2p Combine like terms: 21 + -8 = 13 13 + 14p = 6p + 2p Combine like terms: 6p + 2p = 8p 13 + 14p = 8p Solving 13 + 14p = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 13 + 14p + -8p = 8p + -8p Combine like terms: 14p + -8p = 6p 13 + 6p = 8p + -8p Combine like terms: 8p + -8p = 0 13 + 6p = 0 Add '-13' to each side of the equation. 13 + -13 + 6p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6p = 0 + -13 6p = 0 + -13 Combine like terms: 0 + -13 = -13 6p = -13 Divide each side by '6'. p = -2.166666667 Simplifying p = -2.166666667
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