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Simplifying -14p + -6(2 + -4p) = 6(p + -6) + -20 -14p + (2 * -6 + -4p * -6) = 6(p + -6) + -20 -14p + (-12 + 24p) = 6(p + -6) + -20 Reorder the terms: -12 + -14p + 24p = 6(p + -6) + -20 Combine like terms: -14p + 24p = 10p -12 + 10p = 6(p + -6) + -20 Reorder the terms: -12 + 10p = 6(-6 + p) + -20 -12 + 10p = (-6 * 6 + p * 6) + -20 -12 + 10p = (-36 + 6p) + -20 Reorder the terms: -12 + 10p = -36 + -20 + 6p Combine like terms: -36 + -20 = -56 -12 + 10p = -56 + 6p Solving -12 + 10p = -56 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -12 + 10p + -6p = -56 + 6p + -6p Combine like terms: 10p + -6p = 4p -12 + 4p = -56 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 4p = -56 + 0 -12 + 4p = -56 Add '12' to each side of the equation. -12 + 12 + 4p = -56 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -56 + 12 4p = -56 + 12 Combine like terms: -56 + 12 = -44 4p = -44 Divide each side by '4'. p = -11 Simplifying p = -11
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