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Simplifying 2(3 + -2p) = 3(p + 2) + -1p (3 * 2 + -2p * 2) = 3(p + 2) + -1p (6 + -4p) = 3(p + 2) + -1p Reorder the terms: 6 + -4p = 3(2 + p) + -1p 6 + -4p = (2 * 3 + p * 3) + -1p 6 + -4p = (6 + 3p) + -1p Combine like terms: 3p + -1p = 2p 6 + -4p = 6 + 2p Add '-6' to each side of the equation. 6 + -6 + -4p = 6 + -6 + 2p Combine like terms: 6 + -6 = 0 0 + -4p = 6 + -6 + 2p -4p = 6 + -6 + 2p Combine like terms: 6 + -6 = 0 -4p = 0 + 2p -4p = 2p Solving -4p = 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. -4p + -2p = 2p + -2p Combine like terms: -4p + -2p = -6p -6p = 2p + -2p Combine like terms: 2p + -2p = 0 -6p = 0 Divide each side by '-6'. p = 0 Simplifying p = 0
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