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Simplifying 3a + 4 + -1(-6a + -3b) = 0 3a + 4 + (-6a * -1 + -3b * -1) = 0 3a + 4 + (6a + 3b) = 0 Reorder the terms: 4 + 3a + 6a + 3b = 0 Combine like terms: 3a + 6a = 9a 4 + 9a + 3b = 0 Solving 4 + 9a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 9a + -4 + 3b = 0 + -4 Reorder the terms: 4 + -4 + 9a + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9a + 3b = 0 + -4 9a + 3b = 0 + -4 Combine like terms: 0 + -4 = -4 9a + 3b = -4 Add '-3b' to each side of the equation. 9a + 3b + -3b = -4 + -3b Combine like terms: 3b + -3b = 0 9a + 0 = -4 + -3b 9a = -4 + -3b Divide each side by '9'. a = -0.4444444444 + -0.3333333333b Simplifying a = -0.4444444444 + -0.3333333333b
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