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Simplifying 4a + (3a + -2b) + -1(2a + b) = 0 Remove parenthesis around (3a + -2b) 4a + 3a + -2b + -1(2a + b) = 0 4a + 3a + -2b + (2a * -1 + b * -1) = 0 4a + 3a + -2b + (-2a + -1b) = 0 Reorder the terms: 4a + 3a + -2a + -2b + -1b = 0 Combine like terms: 4a + 3a = 7a 7a + -2a + -2b + -1b = 0 Combine like terms: 7a + -2a = 5a 5a + -2b + -1b = 0 Combine like terms: -2b + -1b = -3b 5a + -3b = 0 Solving 5a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 5a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 5a + 0 = 0 + 3b 5a = 0 + 3b Remove the zero: 5a = 3b Divide each side by '5'. a = 0.6b Simplifying a = 0.6b
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