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Simplifying 2 + 4(3a + -4b) + -6(3b + a + -1) = 0 2 + (3a * 4 + -4b * 4) + -6(3b + a + -1) = 0 2 + (12a + -16b) + -6(3b + a + -1) = 0 Reorder the terms: 2 + 12a + -16b + -6(-1 + a + 3b) = 0 2 + 12a + -16b + (-1 * -6 + a * -6 + 3b * -6) = 0 2 + 12a + -16b + (6 + -6a + -18b) = 0 Reorder the terms: 2 + 6 + 12a + -6a + -16b + -18b = 0 Combine like terms: 2 + 6 = 8 8 + 12a + -6a + -16b + -18b = 0 Combine like terms: 12a + -6a = 6a 8 + 6a + -16b + -18b = 0 Combine like terms: -16b + -18b = -34b 8 + 6a + -34b = 0 Solving 8 + 6a + -34b = 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 + -34b = 0 + -8 Reorder the terms: 8 + -8 + 6a + -34b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6a + -34b = 0 + -8 6a + -34b = 0 + -8 Combine like terms: 0 + -8 = -8 6a + -34b = -8 Add '34b' to each side of the equation. 6a + -34b + 34b = -8 + 34b Combine like terms: -34b + 34b = 0 6a + 0 = -8 + 34b 6a = -8 + 34b Divide each side by '6'. a = -1.333333333 + 5.666666667b Simplifying a = -1.333333333 + 5.666666667b
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