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Simplifying -26p + -6(4 + -6p) = 6(p + -6) + -32 -26p + (4 * -6 + -6p * -6) = 6(p + -6) + -32 -26p + (-24 + 36p) = 6(p + -6) + -32 Reorder the terms: -24 + -26p + 36p = 6(p + -6) + -32 Combine like terms: -26p + 36p = 10p -24 + 10p = 6(p + -6) + -32 Reorder the terms: -24 + 10p = 6(-6 + p) + -32 -24 + 10p = (-6 * 6 + p * 6) + -32 -24 + 10p = (-36 + 6p) + -32 Reorder the terms: -24 + 10p = -36 + -32 + 6p Combine like terms: -36 + -32 = -68 -24 + 10p = -68 + 6p Solving -24 + 10p = -68 + 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. -24 + 10p + -6p = -68 + 6p + -6p Combine like terms: 10p + -6p = 4p -24 + 4p = -68 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + 4p = -68 + 0 -24 + 4p = -68 Add '24' to each side of the equation. -24 + 24 + 4p = -68 + 24 Combine like terms: -24 + 24 = 0 0 + 4p = -68 + 24 4p = -68 + 24 Combine like terms: -68 + 24 = -44 4p = -44 Divide each side by '4'. p = -11 Simplifying p = -11
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