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Simplifying a + 7 + 6b + 9a + -3b = 0 Reorder the terms: 7 + a + 9a + 6b + -3b = 0 Combine like terms: a + 9a = 10a 7 + 10a + 6b + -3b = 0 Combine like terms: 6b + -3b = 3b 7 + 10a + 3b = 0 Solving 7 + 10a + 3b = 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 + 10a + -7 + 3b = 0 + -7 Reorder the terms: 7 + -7 + 10a + 3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10a + 3b = 0 + -7 10a + 3b = 0 + -7 Combine like terms: 0 + -7 = -7 10a + 3b = -7 Add '-3b' to each side of the equation. 10a + 3b + -3b = -7 + -3b Combine like terms: 3b + -3b = 0 10a + 0 = -7 + -3b 10a = -7 + -3b Divide each side by '10'. a = -0.7 + -0.3b Simplifying a = -0.7 + -0.3b
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