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Simplifying -3(2p + 4) + 2(p + -6) = -48 Reorder the terms: -3(4 + 2p) + 2(p + -6) = -48 (4 * -3 + 2p * -3) + 2(p + -6) = -48 (-12 + -6p) + 2(p + -6) = -48 Reorder the terms: -12 + -6p + 2(-6 + p) = -48 -12 + -6p + (-6 * 2 + p * 2) = -48 -12 + -6p + (-12 + 2p) = -48 Reorder the terms: -12 + -12 + -6p + 2p = -48 Combine like terms: -12 + -12 = -24 -24 + -6p + 2p = -48 Combine like terms: -6p + 2p = -4p -24 + -4p = -48 Solving -24 + -4p = -48 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -4p = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -4p = -48 + 24 -4p = -48 + 24 Combine like terms: -48 + 24 = -24 -4p = -24 Divide each side by '-4'. p = 6 Simplifying p = 6
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