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Simplifying -26 = 8(3p + 1) + 5(2 + -4p) Reorder the terms: -26 = 8(1 + 3p) + 5(2 + -4p) -26 = (1 * 8 + 3p * 8) + 5(2 + -4p) -26 = (8 + 24p) + 5(2 + -4p) -26 = 8 + 24p + (2 * 5 + -4p * 5) -26 = 8 + 24p + (10 + -20p) Reorder the terms: -26 = 8 + 10 + 24p + -20p Combine like terms: 8 + 10 = 18 -26 = 18 + 24p + -20p Combine like terms: 24p + -20p = 4p -26 = 18 + 4p Solving -26 = 18 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -26 + -4p = 18 + 4p + -4p Combine like terms: 4p + -4p = 0 -26 + -4p = 18 + 0 -26 + -4p = 18 Add '26' to each side of the equation. -26 + 26 + -4p = 18 + 26 Combine like terms: -26 + 26 = 0 0 + -4p = 18 + 26 -4p = 18 + 26 Combine like terms: 18 + 26 = 44 -4p = 44 Divide each side by '-4'. p = -11 Simplifying p = -11
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