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Simplifying 5a + -4b + -1(-3a + -5b) = 0 5a + -4b + (-3a * -1 + -5b * -1) = 0 5a + -4b + (3a + 5b) = 0 Reorder the terms: 5a + 3a + -4b + 5b = 0 Combine like terms: 5a + 3a = 8a 8a + -4b + 5b = 0 Combine like terms: -4b + 5b = 1b 8a + 1b = 0 Solving 8a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 8a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 8a + 0 = 0 + -1b 8a = 0 + -1b Remove the zero: 8a = -1b Divide each side by '8'. a = -0.125b Simplifying a = -0.125b
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