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Simplifying -3(4a + -2b) + -4(2a + -3b) = 0 (4a * -3 + -2b * -3) + -4(2a + -3b) = 0 (-12a + 6b) + -4(2a + -3b) = 0 -12a + 6b + (2a * -4 + -3b * -4) = 0 -12a + 6b + (-8a + 12b) = 0 Reorder the terms: -12a + -8a + 6b + 12b = 0 Combine like terms: -12a + -8a = -20a -20a + 6b + 12b = 0 Combine like terms: 6b + 12b = 18b -20a + 18b = 0 Solving -20a + 18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. -20a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 -20a + 0 = 0 + -18b -20a = 0 + -18b Remove the zero: -20a = -18b Divide each side by '-20'. a = 0.9b Simplifying a = 0.9b
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