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Simplifying 7p + -1(q + 8p) + -5p + 3q = 0 Reorder the terms: 7p + -1(8p + q) + -5p + 3q = 0 7p + (8p * -1 + q * -1) + -5p + 3q = 0 7p + (-8p + -1q) + -5p + 3q = 0 Reorder the terms: 7p + -8p + -5p + -1q + 3q = 0 Combine like terms: 7p + -8p = -1p -1p + -5p + -1q + 3q = 0 Combine like terms: -1p + -5p = -6p -6p + -1q + 3q = 0 Combine like terms: -1q + 3q = 2q -6p + 2q = 0 Solving -6p + 2q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. -6p + 2q + -2q = 0 + -2q Combine like terms: 2q + -2q = 0 -6p + 0 = 0 + -2q -6p = 0 + -2q Remove the zero: -6p = -2q Divide each side by '-6'. p = 0.3333333333q Simplifying p = 0.3333333333q
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