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Simplifying 2p + -3(4 + -2p) = 2(p + -6) + -16 2p + (4 * -3 + -2p * -3) = 2(p + -6) + -16 2p + (-12 + 6p) = 2(p + -6) + -16 Reorder the terms: -12 + 2p + 6p = 2(p + -6) + -16 Combine like terms: 2p + 6p = 8p -12 + 8p = 2(p + -6) + -16 Reorder the terms: -12 + 8p = 2(-6 + p) + -16 -12 + 8p = (-6 * 2 + p * 2) + -16 -12 + 8p = (-12 + 2p) + -16 Reorder the terms: -12 + 8p = -12 + -16 + 2p Combine like terms: -12 + -16 = -28 -12 + 8p = -28 + 2p Solving -12 + 8p = -28 + 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. -12 + 8p + -2p = -28 + 2p + -2p Combine like terms: 8p + -2p = 6p -12 + 6p = -28 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 6p = -28 + 0 -12 + 6p = -28 Add '12' to each side of the equation. -12 + 12 + 6p = -28 + 12 Combine like terms: -12 + 12 = 0 0 + 6p = -28 + 12 6p = -28 + 12 Combine like terms: -28 + 12 = -16 6p = -16 Divide each side by '6'. p = -2.666666667 Simplifying p = -2.666666667
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