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Simplifying 6a + 3b + -2(8a + -3b) = 0 6a + 3b + (8a * -2 + -3b * -2) = 0 6a + 3b + (-16a + 6b) = 0 Reorder the terms: 6a + -16a + 3b + 6b = 0 Combine like terms: 6a + -16a = -10a -10a + 3b + 6b = 0 Combine like terms: 3b + 6b = 9b -10a + 9b = 0 Solving -10a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -10a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 -10a + 0 = 0 + -9b -10a = 0 + -9b Remove the zero: -10a = -9b Divide each side by '-10'. a = 0.9b Simplifying a = 0.9b
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