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Simplifying (6a + -3b)(8) = 0 Reorder the terms for easier multiplication: 8(6a + -3b) = 0 (6a * 8 + -3b * 8) = 0 (48a + -24b) = 0 Solving 48a + -24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24b' to each side of the equation. 48a + -24b + 24b = 0 + 24b Combine like terms: -24b + 24b = 0 48a + 0 = 0 + 24b 48a = 0 + 24b Remove the zero: 48a = 24b Divide each side by '48'. a = 0.5b Simplifying a = 0.5b
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