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Simplifying 4(2a + -1b) + -3(a + 5b) = 0 (2a * 4 + -1b * 4) + -3(a + 5b) = 0 (8a + -4b) + -3(a + 5b) = 0 8a + -4b + (a * -3 + 5b * -3) = 0 8a + -4b + (-3a + -15b) = 0 Reorder the terms: 8a + -3a + -4b + -15b = 0 Combine like terms: 8a + -3a = 5a 5a + -4b + -15b = 0 Combine like terms: -4b + -15b = -19b 5a + -19b = 0 Solving 5a + -19b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19b' to each side of the equation. 5a + -19b + 19b = 0 + 19b Combine like terms: -19b + 19b = 0 5a + 0 = 0 + 19b 5a = 0 + 19b Remove the zero: 5a = 19b Divide each side by '5'. a = 3.8b Simplifying a = 3.8b
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