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Simplifying 6(a + 3) + -2(a + -2) = 0 Reorder the terms: 6(3 + a) + -2(a + -2) = 0 (3 * 6 + a * 6) + -2(a + -2) = 0 (18 + 6a) + -2(a + -2) = 0 Reorder the terms: 18 + 6a + -2(-2 + a) = 0 18 + 6a + (-2 * -2 + a * -2) = 0 18 + 6a + (4 + -2a) = 0 Reorder the terms: 18 + 4 + 6a + -2a = 0 Combine like terms: 18 + 4 = 22 22 + 6a + -2a = 0 Combine like terms: 6a + -2a = 4a 22 + 4a = 0 Solving 22 + 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 4a = 0 + -22 4a = 0 + -22 Combine like terms: 0 + -22 = -22 4a = -22 Divide each side by '4'. a = -5.5 Simplifying a = -5.5
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