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Simplifying -26 = 4(6p + -2) + 3(4p + -6) Reorder the terms: -26 = 4(-2 + 6p) + 3(4p + -6) -26 = (-2 * 4 + 6p * 4) + 3(4p + -6) -26 = (-8 + 24p) + 3(4p + -6) Reorder the terms: -26 = -8 + 24p + 3(-6 + 4p) -26 = -8 + 24p + (-6 * 3 + 4p * 3) -26 = -8 + 24p + (-18 + 12p) Reorder the terms: -26 = -8 + -18 + 24p + 12p Combine like terms: -8 + -18 = -26 -26 = -26 + 24p + 12p Combine like terms: 24p + 12p = 36p -26 = -26 + 36p Add '26' to each side of the equation. -26 + 26 = -26 + 26 + 36p Combine like terms: -26 + 26 = 0 0 = -26 + 26 + 36p Combine like terms: -26 + 26 = 0 0 = 0 + 36p 0 = 36p Solving 0 = 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 0 + -36p = 36p + -36p Remove the zero: -36p = 36p + -36p Combine like terms: 36p + -36p = 0 -36p = 0 Divide each side by '-36'. p = 0 Simplifying p = 0
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