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Simplifying 4(2p + -2) = 3(2p + 4) Reorder the terms: 4(-2 + 2p) = 3(2p + 4) (-2 * 4 + 2p * 4) = 3(2p + 4) (-8 + 8p) = 3(2p + 4) Reorder the terms: -8 + 8p = 3(4 + 2p) -8 + 8p = (4 * 3 + 2p * 3) -8 + 8p = (12 + 6p) Solving -8 + 8p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -8 + 8p + -6p = 12 + 6p + -6p Combine like terms: 8p + -6p = 2p -8 + 2p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -8 + 2p = 12 + 0 -8 + 2p = 12 Add '8' to each side of the equation. -8 + 8 + 2p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = 12 + 8 2p = 12 + 8 Combine like terms: 12 + 8 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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