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Simplifying 4a + 7b + 3 + -2a + 3b + -2 = 0 Reorder the terms: 3 + -2 + 4a + -2a + 7b + 3b = 0 Combine like terms: 3 + -2 = 1 1 + 4a + -2a + 7b + 3b = 0 Combine like terms: 4a + -2a = 2a 1 + 2a + 7b + 3b = 0 Combine like terms: 7b + 3b = 10b 1 + 2a + 10b = 0 Solving 1 + 2a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2a + -1 + 10b = 0 + -1 Reorder the terms: 1 + -1 + 2a + 10b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a + 10b = 0 + -1 2a + 10b = 0 + -1 Combine like terms: 0 + -1 = -1 2a + 10b = -1 Add '-10b' to each side of the equation. 2a + 10b + -10b = -1 + -10b Combine like terms: 10b + -10b = 0 2a + 0 = -1 + -10b 2a = -1 + -10b Divide each side by '2'. a = -0.5 + -5b Simplifying a = -0.5 + -5b
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