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Simplifying 2 + 3[a + -5(a + -2)] = 0 Reorder the terms: 2 + 3[a + -5(-2 + a)] = 0 2 + 3[a + (-2 * -5 + a * -5)] = 0 2 + 3[a + (10 + -5a)] = 0 Reorder the terms: 2 + 3[10 + a + -5a] = 0 Combine like terms: a + -5a = -4a 2 + 3[10 + -4a] = 0 2 + [10 * 3 + -4a * 3] = 0 2 + [30 + -12a] = 0 Combine like terms: 2 + 30 = 32 32 + -12a = 0 Solving 32 + -12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -12a = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -12a = 0 + -32 -12a = 0 + -32 Combine like terms: 0 + -32 = -32 -12a = -32 Divide each side by '-12'. a = 2.666666667 Simplifying a = 2.666666667
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