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Simplifying -6p + -3(5 + -4p) = 2(p + -6) + -27 -6p + (5 * -3 + -4p * -3) = 2(p + -6) + -27 -6p + (-15 + 12p) = 2(p + -6) + -27 Reorder the terms: -15 + -6p + 12p = 2(p + -6) + -27 Combine like terms: -6p + 12p = 6p -15 + 6p = 2(p + -6) + -27 Reorder the terms: -15 + 6p = 2(-6 + p) + -27 -15 + 6p = (-6 * 2 + p * 2) + -27 -15 + 6p = (-12 + 2p) + -27 Reorder the terms: -15 + 6p = -12 + -27 + 2p Combine like terms: -12 + -27 = -39 -15 + 6p = -39 + 2p Solving -15 + 6p = -39 + 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. -15 + 6p + -2p = -39 + 2p + -2p Combine like terms: 6p + -2p = 4p -15 + 4p = -39 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 4p = -39 + 0 -15 + 4p = -39 Add '15' to each side of the equation. -15 + 15 + 4p = -39 + 15 Combine like terms: -15 + 15 = 0 0 + 4p = -39 + 15 4p = -39 + 15 Combine like terms: -39 + 15 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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