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Simplifying -12p + -3(4 + -6p) = 2(p + -6) -12p + (4 * -3 + -6p * -3) = 2(p + -6) -12p + (-12 + 18p) = 2(p + -6) Reorder the terms: -12 + -12p + 18p = 2(p + -6) Combine like terms: -12p + 18p = 6p -12 + 6p = 2(p + -6) Reorder the terms: -12 + 6p = 2(-6 + p) -12 + 6p = (-6 * 2 + p * 2) -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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