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Simplifying a + 3b + 2a + -1b + 10 + 4a + -12 = 0 Reorder the terms: 10 + -12 + a + 2a + 4a + 3b + -1b = 0 Combine like terms: 10 + -12 = -2 -2 + a + 2a + 4a + 3b + -1b = 0 Combine like terms: a + 2a = 3a -2 + 3a + 4a + 3b + -1b = 0 Combine like terms: 3a + 4a = 7a -2 + 7a + 3b + -1b = 0 Combine like terms: 3b + -1b = 2b -2 + 7a + 2b = 0 Solving -2 + 7a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7a + 2 + 2b = 0 + 2 Reorder the terms: -2 + 2 + 7a + 2b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7a + 2b = 0 + 2 7a + 2b = 0 + 2 Combine like terms: 0 + 2 = 2 7a + 2b = 2 Add '-2b' to each side of the equation. 7a + 2b + -2b = 2 + -2b Combine like terms: 2b + -2b = 0 7a + 0 = 2 + -2b 7a = 2 + -2b Divide each side by '7'. a = 0.2857142857 + -0.2857142857b Simplifying a = 0.2857142857 + -0.2857142857b
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