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Simplifying 3p = 5(p + -2) + 8 Reorder the terms: 3p = 5(-2 + p) + 8 3p = (-2 * 5 + p * 5) + 8 3p = (-10 + 5p) + 8 Reorder the terms: 3p = -10 + 8 + 5p Combine like terms: -10 + 8 = -2 3p = -2 + 5p Solving 3p = -2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 3p + -5p = -2 + 5p + -5p Combine like terms: 3p + -5p = -2p -2p = -2 + 5p + -5p Combine like terms: 5p + -5p = 0 -2p = -2 + 0 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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