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Simplifying 4(-3 + -6p) = 4(p + 6) + -8 (-3 * 4 + -6p * 4) = 4(p + 6) + -8 (-12 + -24p) = 4(p + 6) + -8 Reorder the terms: -12 + -24p = 4(6 + p) + -8 -12 + -24p = (6 * 4 + p * 4) + -8 -12 + -24p = (24 + 4p) + -8 Reorder the terms: -12 + -24p = 24 + -8 + 4p Combine like terms: 24 + -8 = 16 -12 + -24p = 16 + 4p Solving -12 + -24p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -12 + -24p + -4p = 16 + 4p + -4p Combine like terms: -24p + -4p = -28p -12 + -28p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + -28p = 16 + 0 -12 + -28p = 16 Add '12' to each side of the equation. -12 + 12 + -28p = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -28p = 16 + 12 -28p = 16 + 12 Combine like terms: 16 + 12 = 28 -28p = 28 Divide each side by '-28'. p = -1 Simplifying p = -1
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