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