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Simplifying 5p + -26 = 8(2p + 5) Reorder the terms: -26 + 5p = 8(2p + 5) Reorder the terms: -26 + 5p = 8(5 + 2p) -26 + 5p = (5 * 8 + 2p * 8) -26 + 5p = (40 + 16p) Solving -26 + 5p = 40 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -26 + 5p + -16p = 40 + 16p + -16p Combine like terms: 5p + -16p = -11p -26 + -11p = 40 + 16p + -16p Combine like terms: 16p + -16p = 0 -26 + -11p = 40 + 0 -26 + -11p = 40 Add '26' to each side of the equation. -26 + 26 + -11p = 40 + 26 Combine like terms: -26 + 26 = 0 0 + -11p = 40 + 26 -11p = 40 + 26 Combine like terms: 40 + 26 = 66 -11p = 66 Divide each side by '-11'. p = -6 Simplifying p = -6
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