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Simplifying 3(2p + -4) = 8p + 16 Reorder the terms: 3(-4 + 2p) = 8p + 16 (-4 * 3 + 2p * 3) = 8p + 16 (-12 + 6p) = 8p + 16 Reorder the terms: -12 + 6p = 16 + 8p Solving -12 + 6p = 16 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -12 + 6p + -8p = 16 + 8p + -8p Combine like terms: 6p + -8p = -2p -12 + -2p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -12 + -2p = 16 + 0 -12 + -2p = 16 Add '12' to each side of the equation. -12 + 12 + -2p = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -2p = 16 + 12 -2p = 16 + 12 Combine like terms: 16 + 12 = 28 -2p = 28 Divide each side by '-2'. p = -14 Simplifying p = -14
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