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Simplifying -18p + -6(2 + -4p) = 2(p + -4) + -4 -18p + (2 * -6 + -4p * -6) = 2(p + -4) + -4 -18p + (-12 + 24p) = 2(p + -4) + -4 Reorder the terms: -12 + -18p + 24p = 2(p + -4) + -4 Combine like terms: -18p + 24p = 6p -12 + 6p = 2(p + -4) + -4 Reorder the terms: -12 + 6p = 2(-4 + p) + -4 -12 + 6p = (-4 * 2 + p * 2) + -4 -12 + 6p = (-8 + 2p) + -4 Reorder the terms: -12 + 6p = -8 + -4 + 2p Combine like terms: -8 + -4 = -12 -12 + 6p = -12 + 2p Add '12' to each side of the equation. -12 + 12 + 6p = -12 + 12 + 2p Combine like terms: -12 + 12 = 0 0 + 6p = -12 + 12 + 2p 6p = -12 + 12 + 2p Combine like terms: -12 + 12 = 0 6p = 0 + 2p 6p = 2p Solving 6p = 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. 6p + -2p = 2p + -2p Combine like terms: 6p + -2p = 4p 4p = 2p + -2p Combine like terms: 2p + -2p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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