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Simplifying 4(9a + 10b) + -1(10a + -7b) = 0 (9a * 4 + 10b * 4) + -1(10a + -7b) = 0 (36a + 40b) + -1(10a + -7b) = 0 36a + 40b + (10a * -1 + -7b * -1) = 0 36a + 40b + (-10a + 7b) = 0 Reorder the terms: 36a + -10a + 40b + 7b = 0 Combine like terms: 36a + -10a = 26a 26a + 40b + 7b = 0 Combine like terms: 40b + 7b = 47b 26a + 47b = 0 Solving 26a + 47b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47b' to each side of the equation. 26a + 47b + -47b = 0 + -47b Combine like terms: 47b + -47b = 0 26a + 0 = 0 + -47b 26a = 0 + -47b Remove the zero: 26a = -47b Divide each side by '26'. a = -1.807692308b Simplifying a = -1.807692308b
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