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Simplifying -2(a + -3b) + 4(b + -2a) = 0 (a * -2 + -3b * -2) + 4(b + -2a) = 0 (-2a + 6b) + 4(b + -2a) = 0 Reorder the terms: -2a + 6b + 4(-2a + b) = 0 -2a + 6b + (-2a * 4 + b * 4) = 0 -2a + 6b + (-8a + 4b) = 0 Reorder the terms: -2a + -8a + 6b + 4b = 0 Combine like terms: -2a + -8a = -10a -10a + 6b + 4b = 0 Combine like terms: 6b + 4b = 10b -10a + 10b = 0 Solving -10a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. -10a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 -10a + 0 = 0 + -10b -10a = 0 + -10b Remove the zero: -10a = -10b Divide each side by '-10'. a = b Simplifying a = b
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