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Simplifying (4a + -3b + -3) + (3a + b + 5) + (7a + -4b + 2) = 0 Reorder the terms: (-3 + 4a + -3b) + (3a + b + 5) + (7a + -4b + 2) = 0 Remove parenthesis around (-3 + 4a + -3b) -3 + 4a + -3b + (3a + b + 5) + (7a + -4b + 2) = 0 Reorder the terms: -3 + 4a + -3b + (5 + 3a + b) + (7a + -4b + 2) = 0 Remove parenthesis around (5 + 3a + b) -3 + 4a + -3b + 5 + 3a + b + (7a + -4b + 2) = 0 Reorder the terms: -3 + 4a + -3b + 5 + 3a + b + (2 + 7a + -4b) = 0 Remove parenthesis around (2 + 7a + -4b) -3 + 4a + -3b + 5 + 3a + b + 2 + 7a + -4b = 0 Reorder the terms: -3 + 5 + 2 + 4a + 3a + 7a + -3b + b + -4b = 0 Combine like terms: -3 + 5 = 2 2 + 2 + 4a + 3a + 7a + -3b + b + -4b = 0 Combine like terms: 2 + 2 = 4 4 + 4a + 3a + 7a + -3b + b + -4b = 0 Combine like terms: 4a + 3a = 7a 4 + 7a + 7a + -3b + b + -4b = 0 Combine like terms: 7a + 7a = 14a 4 + 14a + -3b + b + -4b = 0 Combine like terms: -3b + b = -2b 4 + 14a + -2b + -4b = 0 Combine like terms: -2b + -4b = -6b 4 + 14a + -6b = 0 Solving 4 + 14a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 14a + -4 + -6b = 0 + -4 Reorder the terms: 4 + -4 + 14a + -6b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14a + -6b = 0 + -4 14a + -6b = 0 + -4 Combine like terms: 0 + -4 = -4 14a + -6b = -4 Add '6b' to each side of the equation. 14a + -6b + 6b = -4 + 6b Combine like terms: -6b + 6b = 0 14a + 0 = -4 + 6b 14a = -4 + 6b Divide each side by '14'. a = -0.2857142857 + 0.4285714286b Simplifying a = -0.2857142857 + 0.4285714286b
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