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Simplifying 5a + 6b + -3a + -2b + 6a + 14b = 0 Reorder the terms: 5a + -3a + 6a + 6b + -2b + 14b = 0 Combine like terms: 5a + -3a = 2a 2a + 6a + 6b + -2b + 14b = 0 Combine like terms: 2a + 6a = 8a 8a + 6b + -2b + 14b = 0 Combine like terms: 6b + -2b = 4b 8a + 4b + 14b = 0 Combine like terms: 4b + 14b = 18b 8a + 18b = 0 Solving 8a + 18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 8a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 8a + 0 = 0 + -18b 8a = 0 + -18b Remove the zero: 8a = -18b Divide each side by '8'. a = -2.25b Simplifying a = -2.25b
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