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Simplifying -2p + -4(6 + -2p) = 2(p + -2) + -28 -2p + (6 * -4 + -2p * -4) = 2(p + -2) + -28 -2p + (-24 + 8p) = 2(p + -2) + -28 Reorder the terms: -24 + -2p + 8p = 2(p + -2) + -28 Combine like terms: -2p + 8p = 6p -24 + 6p = 2(p + -2) + -28 Reorder the terms: -24 + 6p = 2(-2 + p) + -28 -24 + 6p = (-2 * 2 + p * 2) + -28 -24 + 6p = (-4 + 2p) + -28 Reorder the terms: -24 + 6p = -4 + -28 + 2p Combine like terms: -4 + -28 = -32 -24 + 6p = -32 + 2p Solving -24 + 6p = -32 + 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. -24 + 6p + -2p = -32 + 2p + -2p Combine like terms: 6p + -2p = 4p -24 + 4p = -32 + 2p + -2p Combine like terms: 2p + -2p = 0 -24 + 4p = -32 + 0 -24 + 4p = -32 Add '24' to each side of the equation. -24 + 24 + 4p = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 4p = -32 + 24 4p = -32 + 24 Combine like terms: -32 + 24 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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