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Simplifying -26p + -6(4 + -6p) = 5(p + -5) + -14 -26p + (4 * -6 + -6p * -6) = 5(p + -5) + -14 -26p + (-24 + 36p) = 5(p + -5) + -14 Reorder the terms: -24 + -26p + 36p = 5(p + -5) + -14 Combine like terms: -26p + 36p = 10p -24 + 10p = 5(p + -5) + -14 Reorder the terms: -24 + 10p = 5(-5 + p) + -14 -24 + 10p = (-5 * 5 + p * 5) + -14 -24 + 10p = (-25 + 5p) + -14 Reorder the terms: -24 + 10p = -25 + -14 + 5p Combine like terms: -25 + -14 = -39 -24 + 10p = -39 + 5p Solving -24 + 10p = -39 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -24 + 10p + -5p = -39 + 5p + -5p Combine like terms: 10p + -5p = 5p -24 + 5p = -39 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 5p = -39 + 0 -24 + 5p = -39 Add '24' to each side of the equation. -24 + 24 + 5p = -39 + 24 Combine like terms: -24 + 24 = 0 0 + 5p = -39 + 24 5p = -39 + 24 Combine like terms: -39 + 24 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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