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Simplifying 7(2a + 5b) + 5(4a + b) = 0 (2a * 7 + 5b * 7) + 5(4a + b) = 0 (14a + 35b) + 5(4a + b) = 0 14a + 35b + (4a * 5 + b * 5) = 0 14a + 35b + (20a + 5b) = 0 Reorder the terms: 14a + 20a + 35b + 5b = 0 Combine like terms: 14a + 20a = 34a 34a + 35b + 5b = 0 Combine like terms: 35b + 5b = 40b 34a + 40b = 0 Solving 34a + 40b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40b' to each side of the equation. 34a + 40b + -40b = 0 + -40b Combine like terms: 40b + -40b = 0 34a + 0 = 0 + -40b 34a = 0 + -40b Remove the zero: 34a = -40b Divide each side by '34'. a = -1.176470588b Simplifying a = -1.176470588b
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