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Simplifying (8a + -6b)(13) = 0 Reorder the terms for easier multiplication: 13(8a + -6b) = 0 (8a * 13 + -6b * 13) = 0 (104a + -78b) = 0 Solving 104a + -78b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '78b' to each side of the equation. 104a + -78b + 78b = 0 + 78b Combine like terms: -78b + 78b = 0 104a + 0 = 0 + 78b 104a = 0 + 78b Remove the zero: 104a = 78b Divide each side by '104'. a = 0.75b Simplifying a = 0.75b
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