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Simplifying 8 + 2[a + -5(a + -2)] = 0 Reorder the terms: 8 + 2[a + -5(-2 + a)] = 0 8 + 2[a + (-2 * -5 + a * -5)] = 0 8 + 2[a + (10 + -5a)] = 0 Reorder the terms: 8 + 2[10 + a + -5a] = 0 Combine like terms: a + -5a = -4a 8 + 2[10 + -4a] = 0 8 + [10 * 2 + -4a * 2] = 0 8 + [20 + -8a] = 0 Combine like terms: 8 + 20 = 28 28 + -8a = 0 Solving 28 + -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -8a = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -8a = 0 + -28 -8a = 0 + -28 Combine like terms: 0 + -28 = -28 -8a = -28 Divide each side by '-8'. a = 3.5 Simplifying a = 3.5
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