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