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Simplifying 4a + 4a + 4b + 2 + -2a + 5b + -1 = 0 Reorder the terms: 2 + -1 + 4a + 4a + -2a + 4b + 5b = 0 Combine like terms: 2 + -1 = 1 1 + 4a + 4a + -2a + 4b + 5b = 0 Combine like terms: 4a + 4a = 8a 1 + 8a + -2a + 4b + 5b = 0 Combine like terms: 8a + -2a = 6a 1 + 6a + 4b + 5b = 0 Combine like terms: 4b + 5b = 9b 1 + 6a + 9b = 0 Solving 1 + 6a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6a + -1 + 9b = 0 + -1 Reorder the terms: 1 + -1 + 6a + 9b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6a + 9b = 0 + -1 6a + 9b = 0 + -1 Combine like terms: 0 + -1 = -1 6a + 9b = -1 Add '-9b' to each side of the equation. 6a + 9b + -9b = -1 + -9b Combine like terms: 9b + -9b = 0 6a + 0 = -1 + -9b 6a = -1 + -9b Divide each side by '6'. a = -0.1666666667 + -1.5b Simplifying a = -0.1666666667 + -1.5b
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