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Simplifying 8(p + 2) + -6p = 8p + 3 Reorder the terms: 8(2 + p) + -6p = 8p + 3 (2 * 8 + p * 8) + -6p = 8p + 3 (16 + 8p) + -6p = 8p + 3 Combine like terms: 8p + -6p = 2p 16 + 2p = 8p + 3 Reorder the terms: 16 + 2p = 3 + 8p Solving 16 + 2p = 3 + 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. 16 + 2p + -8p = 3 + 8p + -8p Combine like terms: 2p + -8p = -6p 16 + -6p = 3 + 8p + -8p Combine like terms: 8p + -8p = 0 16 + -6p = 3 + 0 16 + -6p = 3 Add '-16' to each side of the equation. 16 + -16 + -6p = 3 + -16 Combine like terms: 16 + -16 = 0 0 + -6p = 3 + -16 -6p = 3 + -16 Combine like terms: 3 + -16 = -13 -6p = -13 Divide each side by '-6'. p = 2.166666667 Simplifying p = 2.166666667
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