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Simplifying -4p + -2(2 + -5p) = 2(p + -2) + -8 -4p + (2 * -2 + -5p * -2) = 2(p + -2) + -8 -4p + (-4 + 10p) = 2(p + -2) + -8 Reorder the terms: -4 + -4p + 10p = 2(p + -2) + -8 Combine like terms: -4p + 10p = 6p -4 + 6p = 2(p + -2) + -8 Reorder the terms: -4 + 6p = 2(-2 + p) + -8 -4 + 6p = (-2 * 2 + p * 2) + -8 -4 + 6p = (-4 + 2p) + -8 Reorder the terms: -4 + 6p = -4 + -8 + 2p Combine like terms: -4 + -8 = -12 -4 + 6p = -12 + 2p Solving -4 + 6p = -12 + 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. -4 + 6p + -2p = -12 + 2p + -2p Combine like terms: 6p + -2p = 4p -4 + 4p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 4p = -12 + 0 -4 + 4p = -12 Add '4' to each side of the equation. -4 + 4 + 4p = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = -12 + 4 4p = -12 + 4 Combine like terms: -12 + 4 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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