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Simplifying 6(3b + -2a) = 0 Reorder the terms: 6(-2a + 3b) = 0 (-2a * 6 + 3b * 6) = 0 (-12a + 18b) = 0 Solving -12a + 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. -12a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 -12a + 0 = 0 + -18b -12a = 0 + -18b Remove the zero: -12a = -18b Divide each side by '-12'. a = 1.5b Simplifying a = 1.5b
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