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Simplifying 2a + 3b + -2 + a + 3b + 4 = 0 Reorder the terms: -2 + 4 + 2a + a + 3b + 3b = 0 Combine like terms: -2 + 4 = 2 2 + 2a + a + 3b + 3b = 0 Combine like terms: 2a + a = 3a 2 + 3a + 3b + 3b = 0 Combine like terms: 3b + 3b = 6b 2 + 3a + 6b = 0 Solving 2 + 3a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3a + -2 + 6b = 0 + -2 Reorder the terms: 2 + -2 + 3a + 6b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a + 6b = 0 + -2 3a + 6b = 0 + -2 Combine like terms: 0 + -2 = -2 3a + 6b = -2 Add '-6b' to each side of the equation. 3a + 6b + -6b = -2 + -6b Combine like terms: 6b + -6b = 0 3a + 0 = -2 + -6b 3a = -2 + -6b Divide each side by '3'. a = -0.6666666667 + -2b Simplifying a = -0.6666666667 + -2b
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