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Simplifying -2p + -4(6 + -2p) = 3(p + -3) + -15 -2p + (6 * -4 + -2p * -4) = 3(p + -3) + -15 -2p + (-24 + 8p) = 3(p + -3) + -15 Reorder the terms: -24 + -2p + 8p = 3(p + -3) + -15 Combine like terms: -2p + 8p = 6p -24 + 6p = 3(p + -3) + -15 Reorder the terms: -24 + 6p = 3(-3 + p) + -15 -24 + 6p = (-3 * 3 + p * 3) + -15 -24 + 6p = (-9 + 3p) + -15 Reorder the terms: -24 + 6p = -9 + -15 + 3p Combine like terms: -9 + -15 = -24 -24 + 6p = -24 + 3p Add '24' to each side of the equation. -24 + 24 + 6p = -24 + 24 + 3p Combine like terms: -24 + 24 = 0 0 + 6p = -24 + 24 + 3p 6p = -24 + 24 + 3p Combine like terms: -24 + 24 = 0 6p = 0 + 3p 6p = 3p Solving 6p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 6p + -3p = 3p + -3p Combine like terms: 6p + -3p = 3p 3p = 3p + -3p Combine like terms: 3p + -3p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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