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Simplifying 3a(p + -3q) + -2b(p + -3q) = 0 (p * 3a + -3q * 3a) + -2b(p + -3q) = 0 (3ap + -9aq) + -2b(p + -3q) = 0 3ap + -9aq + (p * -2b + -3q * -2b) = 0 3ap + -9aq + (-2bp + 6bq) = 0 Solving 3ap + -9aq + -2bp + 6bq = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2bp' to each side of the equation. 3ap + -9aq + -2bp + 2bp + 6bq = 0 + 2bp Combine like terms: -2bp + 2bp = 0 3ap + -9aq + 0 + 6bq = 0 + 2bp 3ap + -9aq + 6bq = 0 + 2bp Remove the zero: 3ap + -9aq + 6bq = 2bp Add '-6bq' to each side of the equation. 3ap + -9aq + 6bq + -6bq = 2bp + -6bq Combine like terms: 6bq + -6bq = 0 3ap + -9aq + 0 = 2bp + -6bq 3ap + -9aq = 2bp + -6bq Reorder the terms: 3ap + -9aq + -2bp + 6bq = 2bp + -2bp + -6bq + 6bq Combine like terms: 2bp + -2bp = 0 3ap + -9aq + -2bp + 6bq = 0 + -6bq + 6bq 3ap + -9aq + -2bp + 6bq = -6bq + 6bq Combine like terms: -6bq + 6bq = 0 3ap + -9aq + -2bp + 6bq = 0 The solution to this equation could not be determined.
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