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Simplifying 6a + 5b + 3a + -2b + 6 = 0 Reorder the terms: 6 + 6a + 3a + 5b + -2b = 0 Combine like terms: 6a + 3a = 9a 6 + 9a + 5b + -2b = 0 Combine like terms: 5b + -2b = 3b 6 + 9a + 3b = 0 Solving 6 + 9a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9a + -6 + 3b = 0 + -6 Reorder the terms: 6 + -6 + 9a + 3b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9a + 3b = 0 + -6 9a + 3b = 0 + -6 Combine like terms: 0 + -6 = -6 9a + 3b = -6 Add '-3b' to each side of the equation. 9a + 3b + -3b = -6 + -3b Combine like terms: 3b + -3b = 0 9a + 0 = -6 + -3b 9a = -6 + -3b Divide each side by '9'. a = -0.6666666667 + -0.3333333333b Simplifying a = -0.6666666667 + -0.3333333333b
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