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Simplifying 6(a + -2b) + -2(a + -5b) = 0 (a * 6 + -2b * 6) + -2(a + -5b) = 0 (6a + -12b) + -2(a + -5b) = 0 6a + -12b + (a * -2 + -5b * -2) = 0 6a + -12b + (-2a + 10b) = 0 Reorder the terms: 6a + -2a + -12b + 10b = 0 Combine like terms: 6a + -2a = 4a 4a + -12b + 10b = 0 Combine like terms: -12b + 10b = -2b 4a + -2b = 0 Solving 4a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 4a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 4a + 0 = 0 + 2b 4a = 0 + 2b Remove the zero: 4a = 2b Divide each side by '4'. a = 0.5b Simplifying a = 0.5b
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