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Simplifying 5a + 2b + -2(4a + -2b) = 0 5a + 2b + (4a * -2 + -2b * -2) = 0 5a + 2b + (-8a + 4b) = 0 Reorder the terms: 5a + -8a + 2b + 4b = 0 Combine like terms: 5a + -8a = -3a -3a + 2b + 4b = 0 Combine like terms: 2b + 4b = 6b -3a + 6b = 0 Solving -3a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. -3a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 -3a + 0 = 0 + -6b -3a = 0 + -6b Remove the zero: -3a = -6b Divide each side by '-3'. a = 2b Simplifying a = 2b
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