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Simplifying -18p + -6(4 + -4p) = 2(p + -2) + -4 -18p + (4 * -6 + -4p * -6) = 2(p + -2) + -4 -18p + (-24 + 24p) = 2(p + -2) + -4 Reorder the terms: -24 + -18p + 24p = 2(p + -2) + -4 Combine like terms: -18p + 24p = 6p -24 + 6p = 2(p + -2) + -4 Reorder the terms: -24 + 6p = 2(-2 + p) + -4 -24 + 6p = (-2 * 2 + p * 2) + -4 -24 + 6p = (-4 + 2p) + -4 Reorder the terms: -24 + 6p = -4 + -4 + 2p Combine like terms: -4 + -4 = -8 -24 + 6p = -8 + 2p Solving -24 + 6p = -8 + 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 = -8 + 2p + -2p Combine like terms: 6p + -2p = 4p -24 + 4p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 -24 + 4p = -8 + 0 -24 + 4p = -8 Add '24' to each side of the equation. -24 + 24 + 4p = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 4p = -8 + 24 4p = -8 + 24 Combine like terms: -8 + 24 = 16 4p = 16 Divide each side by '4'. p = 4 Simplifying p = 4
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