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Simplifying 4(a + 2) + -2(a + 1) = 0 Reorder the terms: 4(2 + a) + -2(a + 1) = 0 (2 * 4 + a * 4) + -2(a + 1) = 0 (8 + 4a) + -2(a + 1) = 0 Reorder the terms: 8 + 4a + -2(1 + a) = 0 8 + 4a + (1 * -2 + a * -2) = 0 8 + 4a + (-2 + -2a) = 0 Reorder the terms: 8 + -2 + 4a + -2a = 0 Combine like terms: 8 + -2 = 6 6 + 4a + -2a = 0 Combine like terms: 4a + -2a = 2a 6 + 2a = 0 Solving 6 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 0 + -6 2a = 0 + -6 Combine like terms: 0 + -6 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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