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Simplifying (5a + -3b) + (2a + 6b) = 0 Remove parenthesis around (5a + -3b) 5a + -3b + (2a + 6b) = 0 Remove parenthesis around (2a + 6b) 5a + -3b + 2a + 6b = 0 Reorder the terms: 5a + 2a + -3b + 6b = 0 Combine like terms: 5a + 2a = 7a 7a + -3b + 6b = 0 Combine like terms: -3b + 6b = 3b 7a + 3b = 0 Solving 7a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 7a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 7a + 0 = 0 + -3b 7a = 0 + -3b Remove the zero: 7a = -3b Divide each side by '7'. a = -0.4285714286b Simplifying a = -0.4285714286b
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