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Simplifying -4(2p + 16) = -2p + 14 Reorder the terms: -4(16 + 2p) = -2p + 14 (16 * -4 + 2p * -4) = -2p + 14 (-64 + -8p) = -2p + 14 Reorder the terms: -64 + -8p = 14 + -2p Solving -64 + -8p = 14 + -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. -64 + -8p + 2p = 14 + -2p + 2p Combine like terms: -8p + 2p = -6p -64 + -6p = 14 + -2p + 2p Combine like terms: -2p + 2p = 0 -64 + -6p = 14 + 0 -64 + -6p = 14 Add '64' to each side of the equation. -64 + 64 + -6p = 14 + 64 Combine like terms: -64 + 64 = 0 0 + -6p = 14 + 64 -6p = 14 + 64 Combine like terms: 14 + 64 = 78 -6p = 78 Divide each side by '-6'. p = -13 Simplifying p = -13
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