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Simplifying 3a + -4b + 6a + 7b + 8 = 0 Reorder the terms: 8 + 3a + 6a + -4b + 7b = 0 Combine like terms: 3a + 6a = 9a 8 + 9a + -4b + 7b = 0 Combine like terms: -4b + 7b = 3b 8 + 9a + 3b = 0 Solving 8 + 9a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 9a + -8 + 3b = 0 + -8 Reorder the terms: 8 + -8 + 9a + 3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9a + 3b = 0 + -8 9a + 3b = 0 + -8 Combine like terms: 0 + -8 = -8 9a + 3b = -8 Add '-3b' to each side of the equation. 9a + 3b + -3b = -8 + -3b Combine like terms: 3b + -3b = 0 9a + 0 = -8 + -3b 9a = -8 + -3b Divide each side by '9'. a = -0.8888888889 + -0.3333333333b Simplifying a = -0.8888888889 + -0.3333333333b
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