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Simplifying 5a + 3(a + -1b) + -1b = 0 5a + (a * 3 + -1b * 3) + -1b = 0 5a + (3a + -3b) + -1b = 0 Combine like terms: 5a + 3a = 8a 8a + -3b + -1b = 0 Combine like terms: -3b + -1b = -4b 8a + -4b = 0 Solving 8a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 8a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 8a + 0 = 0 + 4b 8a = 0 + 4b Remove the zero: 8a = 4b Divide each side by '8'. a = 0.5b Simplifying a = 0.5b
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