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Simplifying 10a + 3b + 12 + -3a + 8 = 0 Reorder the terms: 12 + 8 + 10a + -3a + 3b = 0 Combine like terms: 12 + 8 = 20 20 + 10a + -3a + 3b = 0 Combine like terms: 10a + -3a = 7a 20 + 7a + 3b = 0 Solving 20 + 7a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 7a + -20 + 3b = 0 + -20 Reorder the terms: 20 + -20 + 7a + 3b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7a + 3b = 0 + -20 7a + 3b = 0 + -20 Combine like terms: 0 + -20 = -20 7a + 3b = -20 Add '-3b' to each side of the equation. 7a + 3b + -3b = -20 + -3b Combine like terms: 3b + -3b = 0 7a + 0 = -20 + -3b 7a = -20 + -3b Divide each side by '7'. a = -2.857142857 + -0.4285714286b Simplifying a = -2.857142857 + -0.4285714286b
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