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Simplifying 7a + 9 + -4a + 6b + -2 + 5b = 0 Reorder the terms: 9 + -2 + 7a + -4a + 6b + 5b = 0 Combine like terms: 9 + -2 = 7 7 + 7a + -4a + 6b + 5b = 0 Combine like terms: 7a + -4a = 3a 7 + 3a + 6b + 5b = 0 Combine like terms: 6b + 5b = 11b 7 + 3a + 11b = 0 Solving 7 + 3a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3a + -7 + 11b = 0 + -7 Reorder the terms: 7 + -7 + 3a + 11b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3a + 11b = 0 + -7 3a + 11b = 0 + -7 Combine like terms: 0 + -7 = -7 3a + 11b = -7 Add '-11b' to each side of the equation. 3a + 11b + -11b = -7 + -11b Combine like terms: 11b + -11b = 0 3a + 0 = -7 + -11b 3a = -7 + -11b Divide each side by '3'. a = -2.333333333 + -3.666666667b Simplifying a = -2.333333333 + -3.666666667b
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