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Simplifying 3(a + 2) + 2(4 + b) = 0 Reorder the terms: 3(2 + a) + 2(4 + b) = 0 (2 * 3 + a * 3) + 2(4 + b) = 0 (6 + 3a) + 2(4 + b) = 0 6 + 3a + (4 * 2 + b * 2) = 0 6 + 3a + (8 + 2b) = 0 Reorder the terms: 6 + 8 + 3a + 2b = 0 Combine like terms: 6 + 8 = 14 14 + 3a + 2b = 0 Solving 14 + 3a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 3a + -14 + 2b = 0 + -14 Reorder the terms: 14 + -14 + 3a + 2b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3a + 2b = 0 + -14 3a + 2b = 0 + -14 Combine like terms: 0 + -14 = -14 3a + 2b = -14 Add '-2b' to each side of the equation. 3a + 2b + -2b = -14 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = -14 + -2b 3a = -14 + -2b Divide each side by '3'. a = -4.666666667 + -0.6666666667b Simplifying a = -4.666666667 + -0.6666666667b
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