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Simplifying -2p + -4(6 + -2p) = 4(p + -2) + -14 -2p + (6 * -4 + -2p * -4) = 4(p + -2) + -14 -2p + (-24 + 8p) = 4(p + -2) + -14 Reorder the terms: -24 + -2p + 8p = 4(p + -2) + -14 Combine like terms: -2p + 8p = 6p -24 + 6p = 4(p + -2) + -14 Reorder the terms: -24 + 6p = 4(-2 + p) + -14 -24 + 6p = (-2 * 4 + p * 4) + -14 -24 + 6p = (-8 + 4p) + -14 Reorder the terms: -24 + 6p = -8 + -14 + 4p Combine like terms: -8 + -14 = -22 -24 + 6p = -22 + 4p Solving -24 + 6p = -22 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -24 + 6p + -4p = -22 + 4p + -4p Combine like terms: 6p + -4p = 2p -24 + 2p = -22 + 4p + -4p Combine like terms: 4p + -4p = 0 -24 + 2p = -22 + 0 -24 + 2p = -22 Add '24' to each side of the equation. -24 + 24 + 2p = -22 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -22 + 24 2p = -22 + 24 Combine like terms: -22 + 24 = 2 2p = 2 Divide each side by '2'. p = 1 Simplifying p = 1
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