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Simplifying 3(2p + -4) = 2p + 12 Reorder the terms: 3(-4 + 2p) = 2p + 12 (-4 * 3 + 2p * 3) = 2p + 12 (-12 + 6p) = 2p + 12 Reorder the terms: -12 + 6p = 12 + 2p Solving -12 + 6p = 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. -12 + 6p + -2p = 12 + 2p + -2p Combine like terms: 6p + -2p = 4p -12 + 4p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 4p = 12 + 0 -12 + 4p = 12 Add '12' to each side of the equation. -12 + 12 + 4p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = 12 + 12 4p = 12 + 12 Combine like terms: 12 + 12 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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