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Simplifying 7(2a + -1b) + -4(5b + -4a) = 0 (2a * 7 + -1b * 7) + -4(5b + -4a) = 0 (14a + -7b) + -4(5b + -4a) = 0 Reorder the terms: 14a + -7b + -4(-4a + 5b) = 0 14a + -7b + (-4a * -4 + 5b * -4) = 0 14a + -7b + (16a + -20b) = 0 Reorder the terms: 14a + 16a + -7b + -20b = 0 Combine like terms: 14a + 16a = 30a 30a + -7b + -20b = 0 Combine like terms: -7b + -20b = -27b 30a + -27b = 0 Solving 30a + -27b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27b' to each side of the equation. 30a + -27b + 27b = 0 + 27b Combine like terms: -27b + 27b = 0 30a + 0 = 0 + 27b 30a = 0 + 27b Remove the zero: 30a = 27b Divide each side by '30'. a = 0.9b Simplifying a = 0.9b
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