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Simplifying 2a + -1(4a + 3b) + -6a = 0 2a + (4a * -1 + 3b * -1) + -6a = 0 2a + (-4a + -3b) + -6a = 0 Reorder the terms: 2a + -4a + -6a + -3b = 0 Combine like terms: 2a + -4a = -2a -2a + -6a + -3b = 0 Combine like terms: -2a + -6a = -8a -8a + -3b = 0 Solving -8a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -8a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 -8a + 0 = 0 + 3b -8a = 0 + 3b Remove the zero: -8a = 3b Divide each side by '-8'. a = -0.375b Simplifying a = -0.375b
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