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Simplifying 2(a + b) + -4(2a + -3b) = 0 (a * 2 + b * 2) + -4(2a + -3b) = 0 (2a + 2b) + -4(2a + -3b) = 0 2a + 2b + (2a * -4 + -3b * -4) = 0 2a + 2b + (-8a + 12b) = 0 Reorder the terms: 2a + -8a + 2b + 12b = 0 Combine like terms: 2a + -8a = -6a -6a + 2b + 12b = 0 Combine like terms: 2b + 12b = 14b -6a + 14b = 0 Solving -6a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. -6a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 -6a + 0 = 0 + -14b -6a = 0 + -14b Remove the zero: -6a = -14b Divide each side by '-6'. a = 2.333333333b Simplifying a = 2.333333333b
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