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Simplifying 8p + -2(6p + -4) = 2p + 14 Reorder the terms: 8p + -2(-4 + 6p) = 2p + 14 8p + (-4 * -2 + 6p * -2) = 2p + 14 8p + (8 + -12p) = 2p + 14 Reorder the terms: 8 + 8p + -12p = 2p + 14 Combine like terms: 8p + -12p = -4p 8 + -4p = 2p + 14 Reorder the terms: 8 + -4p = 14 + 2p Solving 8 + -4p = 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. 8 + -4p + -2p = 14 + 2p + -2p Combine like terms: -4p + -2p = -6p 8 + -6p = 14 + 2p + -2p Combine like terms: 2p + -2p = 0 8 + -6p = 14 + 0 8 + -6p = 14 Add '-8' to each side of the equation. 8 + -8 + -6p = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -6p = 14 + -8 -6p = 14 + -8 Combine like terms: 14 + -8 = 6 -6p = 6 Divide each side by '-6'. p = -1 Simplifying p = -1
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