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Simplifying -6(4p + 2) + -44 = 2(3p + 2) Reorder the terms: -6(2 + 4p) + -44 = 2(3p + 2) (2 * -6 + 4p * -6) + -44 = 2(3p + 2) (-12 + -24p) + -44 = 2(3p + 2) Reorder the terms: -12 + -44 + -24p = 2(3p + 2) Combine like terms: -12 + -44 = -56 -56 + -24p = 2(3p + 2) Reorder the terms: -56 + -24p = 2(2 + 3p) -56 + -24p = (2 * 2 + 3p * 2) -56 + -24p = (4 + 6p) Solving -56 + -24p = 4 + 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. -56 + -24p + -6p = 4 + 6p + -6p Combine like terms: -24p + -6p = -30p -56 + -30p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 -56 + -30p = 4 + 0 -56 + -30p = 4 Add '56' to each side of the equation. -56 + 56 + -30p = 4 + 56 Combine like terms: -56 + 56 = 0 0 + -30p = 4 + 56 -30p = 4 + 56 Combine like terms: 4 + 56 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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