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Simplifying -4(4a + -2b) + -2(6b + -2a) = 0 (4a * -4 + -2b * -4) + -2(6b + -2a) = 0 (-16a + 8b) + -2(6b + -2a) = 0 Reorder the terms: -16a + 8b + -2(-2a + 6b) = 0 -16a + 8b + (-2a * -2 + 6b * -2) = 0 -16a + 8b + (4a + -12b) = 0 Reorder the terms: -16a + 4a + 8b + -12b = 0 Combine like terms: -16a + 4a = -12a -12a + 8b + -12b = 0 Combine like terms: 8b + -12b = -4b -12a + -4b = 0 Solving -12a + -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. -12a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 -12a + 0 = 0 + 4b -12a = 0 + 4b Remove the zero: -12a = 4b Divide each side by '-12'. a = -0.3333333333b Simplifying a = -0.3333333333b
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