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Simplifying 0 = 10b + -7a + (-1b) + 10a + -9b + 5 Reorder the terms: 0 = 5 + -7a + 10a + 10b + (-1b) + -9b Combine like terms: -7a + 10a = 3a 0 = 5 + 3a + 10b + (-1b) + -9b Combine like terms: 10b + (-1b) = 9b 0 = 5 + 3a + 9b + -9b Combine like terms: 9b + -9b = 0 0 = 5 + 3a + 0 0 = 5 + 3a Solving 0 = 5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 0 + -3a = 5 + 3a + -3a Remove the zero: -3a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 -3a = 5 + 0 -3a = 5 Divide each side by '-3'. a = -1.666666667 Simplifying a = -1.666666667
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