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Simplifying -26p + -6(2 + -6p) = 5(p + -4) + -12 -26p + (2 * -6 + -6p * -6) = 5(p + -4) + -12 -26p + (-12 + 36p) = 5(p + -4) + -12 Reorder the terms: -12 + -26p + 36p = 5(p + -4) + -12 Combine like terms: -26p + 36p = 10p -12 + 10p = 5(p + -4) + -12 Reorder the terms: -12 + 10p = 5(-4 + p) + -12 -12 + 10p = (-4 * 5 + p * 5) + -12 -12 + 10p = (-20 + 5p) + -12 Reorder the terms: -12 + 10p = -20 + -12 + 5p Combine like terms: -20 + -12 = -32 -12 + 10p = -32 + 5p Solving -12 + 10p = -32 + 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. -12 + 10p + -5p = -32 + 5p + -5p Combine like terms: 10p + -5p = 5p -12 + 5p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 5p = -32 + 0 -12 + 5p = -32 Add '12' to each side of the equation. -12 + 12 + 5p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -32 + 12 5p = -32 + 12 Combine like terms: -32 + 12 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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