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Simplifying 6(5a + 4b) + (2a + 2b) = 0 (5a * 6 + 4b * 6) + (2a + 2b) = 0 (30a + 24b) + (2a + 2b) = 0 Remove parenthesis around (2a + 2b) 30a + 24b + 2a + 2b = 0 Reorder the terms: 30a + 2a + 24b + 2b = 0 Combine like terms: 30a + 2a = 32a 32a + 24b + 2b = 0 Combine like terms: 24b + 2b = 26b 32a + 26b = 0 Solving 32a + 26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26b' to each side of the equation. 32a + 26b + -26b = 0 + -26b Combine like terms: 26b + -26b = 0 32a + 0 = 0 + -26b 32a = 0 + -26b Remove the zero: 32a = -26b Divide each side by '32'. a = -0.8125b Simplifying a = -0.8125b
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