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Simplifying -12p + -3(5 + -6p) = 2(p + -3) + -9 -12p + (5 * -3 + -6p * -3) = 2(p + -3) + -9 -12p + (-15 + 18p) = 2(p + -3) + -9 Reorder the terms: -15 + -12p + 18p = 2(p + -3) + -9 Combine like terms: -12p + 18p = 6p -15 + 6p = 2(p + -3) + -9 Reorder the terms: -15 + 6p = 2(-3 + p) + -9 -15 + 6p = (-3 * 2 + p * 2) + -9 -15 + 6p = (-6 + 2p) + -9 Reorder the terms: -15 + 6p = -6 + -9 + 2p Combine like terms: -6 + -9 = -15 -15 + 6p = -15 + 2p Add '15' to each side of the equation. -15 + 15 + 6p = -15 + 15 + 2p Combine like terms: -15 + 15 = 0 0 + 6p = -15 + 15 + 2p 6p = -15 + 15 + 2p Combine like terms: -15 + 15 = 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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