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Simplifying 8 + -3(p + 2v) = 2p 8 + (p * -3 + 2v * -3) = 2p 8 + (-3p + -6v) = 2p Solving 8 + -3p + -6v = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 8 + -3p + -2p + -6v = 2p + -2p Combine like terms: -3p + -2p = -5p 8 + -5p + -6v = 2p + -2p Combine like terms: 2p + -2p = 0 8 + -5p + -6v = 0 Add '-8' to each side of the equation. 8 + -5p + -8 + -6v = 0 + -8 Reorder the terms: 8 + -8 + -5p + -6v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5p + -6v = 0 + -8 -5p + -6v = 0 + -8 Combine like terms: 0 + -8 = -8 -5p + -6v = -8 Add '6v' to each side of the equation. -5p + -6v + 6v = -8 + 6v Combine like terms: -6v + 6v = 0 -5p + 0 = -8 + 6v -5p = -8 + 6v Divide each side by '-5'. p = 1.6 + -1.2v Simplifying p = 1.6 + -1.2v
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