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Simplifying 11 + -3[a + -2] = 27 Reorder the terms: 11 + -3[-2 + a] = 27 11 + [-2 * -3 + a * -3] = 27 11 + [6 + -3a] = 27 Combine like terms: 11 + 6 = 17 17 + -3a = 27 Solving 17 + -3a = 27 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3a = 27 + -17 Combine like terms: 17 + -17 = 0 0 + -3a = 27 + -17 -3a = 27 + -17 Combine like terms: 27 + -17 = 10 -3a = 10 Divide each side by '-3'. a = -3.333333333 Simplifying a = -3.333333333
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