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Simplifying 6(2a + -3b) + 4b + -2(3a + 4) = 0 (2a * 6 + -3b * 6) + 4b + -2(3a + 4) = 0 (12a + -18b) + 4b + -2(3a + 4) = 0 Reorder the terms: 12a + -18b + 4b + -2(4 + 3a) = 0 12a + -18b + 4b + (4 * -2 + 3a * -2) = 0 12a + -18b + 4b + (-8 + -6a) = 0 Reorder the terms: -8 + 12a + -6a + -18b + 4b = 0 Combine like terms: 12a + -6a = 6a -8 + 6a + -18b + 4b = 0 Combine like terms: -18b + 4b = -14b -8 + 6a + -14b = 0 Solving -8 + 6a + -14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 6a + 8 + -14b = 0 + 8 Reorder the terms: -8 + 8 + 6a + -14b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6a + -14b = 0 + 8 6a + -14b = 0 + 8 Combine like terms: 0 + 8 = 8 6a + -14b = 8 Add '14b' to each side of the equation. 6a + -14b + 14b = 8 + 14b Combine like terms: -14b + 14b = 0 6a + 0 = 8 + 14b 6a = 8 + 14b Divide each side by '6'. a = 1.333333333 + 2.333333333b Simplifying a = 1.333333333 + 2.333333333b
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