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Simplifying 5a + -2b + -3b + 6b + 2a = 0 Reorder the terms: 5a + 2a + -2b + -3b + 6b = 0 Combine like terms: 5a + 2a = 7a 7a + -2b + -3b + 6b = 0 Combine like terms: -2b + -3b = -5b 7a + -5b + 6b = 0 Combine like terms: -5b + 6b = 1b 7a + 1b = 0 Solving 7a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 7a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 7a + 0 = 0 + -1b 7a = 0 + -1b Remove the zero: 7a = -1b Divide each side by '7'. a = -0.1428571429b Simplifying a = -0.1428571429b
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