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Simplifying 6p + 3q + -5(8p + -7q) = 0 6p + 3q + (8p * -5 + -7q * -5) = 0 6p + 3q + (-40p + 35q) = 0 Reorder the terms: 6p + -40p + 3q + 35q = 0 Combine like terms: 6p + -40p = -34p -34p + 3q + 35q = 0 Combine like terms: 3q + 35q = 38q -34p + 38q = 0 Solving -34p + 38q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38q' to each side of the equation. -34p + 38q + -38q = 0 + -38q Combine like terms: 38q + -38q = 0 -34p + 0 = 0 + -38q -34p = 0 + -38q Remove the zero: -34p = -38q Divide each side by '-34'. p = 1.117647059q Simplifying p = 1.117647059q
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