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Simplifying 5a + -4b + -1(-3 + -5b) = 0 5a + -4b + (-3 * -1 + -5b * -1) = 0 5a + -4b + (3 + 5b) = 0 Reorder the terms: 3 + 5a + -4b + 5b = 0 Combine like terms: -4b + 5b = 1b 3 + 5a + 1b = 0 Solving 3 + 5a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5a + -3 + 1b = 0 + -3 Reorder the terms: 3 + -3 + 5a + 1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a + 1b = 0 + -3 5a + 1b = 0 + -3 Combine like terms: 0 + -3 = -3 5a + 1b = -3 Add '-1b' to each side of the equation. 5a + 1b + -1b = -3 + -1b Combine like terms: 1b + -1b = 0 5a + 0 = -3 + -1b 5a = -3 + -1b Divide each side by '5'. a = -0.6 + -0.2b Simplifying a = -0.6 + -0.2b
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