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Simplifying (3a + 8b)(-6) = 0 Reorder the terms for easier multiplication: -6(3a + 8b) = 0 (3a * -6 + 8b * -6) = 0 (-18a + -48b) = 0 Solving -18a + -48b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48b' to each side of the equation. -18a + -48b + 48b = 0 + 48b Combine like terms: -48b + 48b = 0 -18a + 0 = 0 + 48b -18a = 0 + 48b Remove the zero: -18a = 48b Divide each side by '-18'. a = -2.666666667b Simplifying a = -2.666666667b
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