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Simplifying 5(1 + -1p) = 3(2p + q) (1 * 5 + -1p * 5) = 3(2p + q) (5 + -5p) = 3(2p + q) 5 + -5p = (2p * 3 + q * 3) 5 + -5p = (6p + 3q) Solving 5 + -5p = 6p + 3q 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. 5 + -5p + -6p = 6p + -6p + 3q Combine like terms: -5p + -6p = -11p 5 + -11p = 6p + -6p + 3q Combine like terms: 6p + -6p = 0 5 + -11p = 0 + 3q 5 + -11p = 3q Add '-5' to each side of the equation. 5 + -5 + -11p = -5 + 3q Combine like terms: 5 + -5 = 0 0 + -11p = -5 + 3q -11p = -5 + 3q Divide each side by '-11'. p = 0.4545454545 + -0.2727272727q Simplifying p = 0.4545454545 + -0.2727272727q
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