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Simplifying -6(4p + 4) + -36 = 2(5p + 4) Reorder the terms: -6(4 + 4p) + -36 = 2(5p + 4) (4 * -6 + 4p * -6) + -36 = 2(5p + 4) (-24 + -24p) + -36 = 2(5p + 4) Reorder the terms: -24 + -36 + -24p = 2(5p + 4) Combine like terms: -24 + -36 = -60 -60 + -24p = 2(5p + 4) Reorder the terms: -60 + -24p = 2(4 + 5p) -60 + -24p = (4 * 2 + 5p * 2) -60 + -24p = (8 + 10p) Solving -60 + -24p = 8 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -60 + -24p + -10p = 8 + 10p + -10p Combine like terms: -24p + -10p = -34p -60 + -34p = 8 + 10p + -10p Combine like terms: 10p + -10p = 0 -60 + -34p = 8 + 0 -60 + -34p = 8 Add '60' to each side of the equation. -60 + 60 + -34p = 8 + 60 Combine like terms: -60 + 60 = 0 0 + -34p = 8 + 60 -34p = 8 + 60 Combine like terms: 8 + 60 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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