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Simplifying -1(5p + 6) = 2(3p + 8) Reorder the terms: -1(6 + 5p) = 2(3p + 8) (6 * -1 + 5p * -1) = 2(3p + 8) (-6 + -5p) = 2(3p + 8) Reorder the terms: -6 + -5p = 2(8 + 3p) -6 + -5p = (8 * 2 + 3p * 2) -6 + -5p = (16 + 6p) Solving -6 + -5p = 16 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -6 + -5p + -6p = 16 + 6p + -6p Combine like terms: -5p + -6p = -11p -6 + -11p = 16 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + -11p = 16 + 0 -6 + -11p = 16 Add '6' to each side of the equation. -6 + 6 + -11p = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -11p = 16 + 6 -11p = 16 + 6 Combine like terms: 16 + 6 = 22 -11p = 22 Divide each side by '-11'. p = -2 Simplifying p = -2
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