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Simplifying -2p + -4(3 + -3p) = 6(p + -4) + -8 -2p + (3 * -4 + -3p * -4) = 6(p + -4) + -8 -2p + (-12 + 12p) = 6(p + -4) + -8 Reorder the terms: -12 + -2p + 12p = 6(p + -4) + -8 Combine like terms: -2p + 12p = 10p -12 + 10p = 6(p + -4) + -8 Reorder the terms: -12 + 10p = 6(-4 + p) + -8 -12 + 10p = (-4 * 6 + p * 6) + -8 -12 + 10p = (-24 + 6p) + -8 Reorder the terms: -12 + 10p = -24 + -8 + 6p Combine like terms: -24 + -8 = -32 -12 + 10p = -32 + 6p Solving -12 + 10p = -32 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -12 + 10p + -6p = -32 + 6p + -6p Combine like terms: 10p + -6p = 4p -12 + 4p = -32 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 4p = -32 + 0 -12 + 4p = -32 Add '12' to each side of the equation. -12 + 12 + 4p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -32 + 12 4p = -32 + 12 Combine like terms: -32 + 12 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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