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Simplifying 4(a + 2) + -2(a + -3) = 0 Reorder the terms: 4(2 + a) + -2(a + -3) = 0 (2 * 4 + a * 4) + -2(a + -3) = 0 (8 + 4a) + -2(a + -3) = 0 Reorder the terms: 8 + 4a + -2(-3 + a) = 0 8 + 4a + (-3 * -2 + a * -2) = 0 8 + 4a + (6 + -2a) = 0 Reorder the terms: 8 + 6 + 4a + -2a = 0 Combine like terms: 8 + 6 = 14 14 + 4a + -2a = 0 Combine like terms: 4a + -2a = 2a 14 + 2a = 0 Solving 14 + 2a = 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 + -14 + 2a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2a = 0 + -14 2a = 0 + -14 Combine like terms: 0 + -14 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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