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Simplifying (7a + -4b) + -1(2a + 3b) = 0 Remove parenthesis around (7a + -4b) 7a + -4b + -1(2a + 3b) = 0 7a + -4b + (2a * -1 + 3b * -1) = 0 7a + -4b + (-2a + -3b) = 0 Reorder the terms: 7a + -2a + -4b + -3b = 0 Combine like terms: 7a + -2a = 5a 5a + -4b + -3b = 0 Combine like terms: -4b + -3b = -7b 5a + -7b = 0 Solving 5a + -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. 5a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 5a + 0 = 0 + 7b 5a = 0 + 7b Remove the zero: 5a = 7b Divide each side by '5'. a = 1.4b Simplifying a = 1.4b
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