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Simplifying (3a + 2b + 4) * 2 + (a + -1b + 1) = 0 Reorder the terms: (4 + 3a + 2b) * 2 + (a + -1b + 1) = 0 Reorder the terms for easier multiplication: 2(4 + 3a + 2b) + (a + -1b + 1) = 0 (4 * 2 + 3a * 2 + 2b * 2) + (a + -1b + 1) = 0 (8 + 6a + 4b) + (a + -1b + 1) = 0 Reorder the terms: 8 + 6a + 4b + (1 + a + -1b) = 0 Remove parenthesis around (1 + a + -1b) 8 + 6a + 4b + 1 + a + -1b = 0 Reorder the terms: 8 + 1 + 6a + a + 4b + -1b = 0 Combine like terms: 8 + 1 = 9 9 + 6a + a + 4b + -1b = 0 Combine like terms: 6a + a = 7a 9 + 7a + 4b + -1b = 0 Combine like terms: 4b + -1b = 3b 9 + 7a + 3b = 0 Solving 9 + 7a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 7a + -9 + 3b = 0 + -9 Reorder the terms: 9 + -9 + 7a + 3b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7a + 3b = 0 + -9 7a + 3b = 0 + -9 Combine like terms: 0 + -9 = -9 7a + 3b = -9 Add '-3b' to each side of the equation. 7a + 3b + -3b = -9 + -3b Combine like terms: 3b + -3b = 0 7a + 0 = -9 + -3b 7a = -9 + -3b Divide each side by '7'. a = -1.285714286 + -0.4285714286b Simplifying a = -1.285714286 + -0.4285714286b
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