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Simplifying -6(4p + 2) + -36 = 5(3p + 6) Reorder the terms: -6(2 + 4p) + -36 = 5(3p + 6) (2 * -6 + 4p * -6) + -36 = 5(3p + 6) (-12 + -24p) + -36 = 5(3p + 6) Reorder the terms: -12 + -36 + -24p = 5(3p + 6) Combine like terms: -12 + -36 = -48 -48 + -24p = 5(3p + 6) Reorder the terms: -48 + -24p = 5(6 + 3p) -48 + -24p = (6 * 5 + 3p * 5) -48 + -24p = (30 + 15p) Solving -48 + -24p = 30 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -48 + -24p + -15p = 30 + 15p + -15p Combine like terms: -24p + -15p = -39p -48 + -39p = 30 + 15p + -15p Combine like terms: 15p + -15p = 0 -48 + -39p = 30 + 0 -48 + -39p = 30 Add '48' to each side of the equation. -48 + 48 + -39p = 30 + 48 Combine like terms: -48 + 48 = 0 0 + -39p = 30 + 48 -39p = 30 + 48 Combine like terms: 30 + 48 = 78 -39p = 78 Divide each side by '-39'. p = -2 Simplifying p = -2
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