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Simplifying 2(4p + -3) = 12 + 2p Reorder the terms: 2(-3 + 4p) = 12 + 2p (-3 * 2 + 4p * 2) = 12 + 2p (-6 + 8p) = 12 + 2p Solving -6 + 8p = 12 + 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. -6 + 8p + -2p = 12 + 2p + -2p Combine like terms: 8p + -2p = 6p -6 + 6p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + 6p = 12 + 0 -6 + 6p = 12 Add '6' to each side of the equation. -6 + 6 + 6p = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6p = 12 + 6 6p = 12 + 6 Combine like terms: 12 + 6 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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