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Simplifying 2(3a + 2b) + -2(2a + 5b) = 0 (3a * 2 + 2b * 2) + -2(2a + 5b) = 0 (6a + 4b) + -2(2a + 5b) = 0 6a + 4b + (2a * -2 + 5b * -2) = 0 6a + 4b + (-4a + -10b) = 0 Reorder the terms: 6a + -4a + 4b + -10b = 0 Combine like terms: 6a + -4a = 2a 2a + 4b + -10b = 0 Combine like terms: 4b + -10b = -6b 2a + -6b = 0 Solving 2a + -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. 2a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 2a + 0 = 0 + 6b 2a = 0 + 6b Remove the zero: 2a = 6b Divide each side by '2'. a = 3b Simplifying a = 3b
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