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Simplifying 11.7 + 2(a + -3) = -9 Reorder the terms: 11.7 + 2(-3 + a) = -9 11.7 + (-3 * 2 + a * 2) = -9 11.7 + (-6 + 2a) = -9 Combine like terms: 11.7 + -6 = 5.7 5.7 + 2a = -9 Solving 5.7 + 2a = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.7' to each side of the equation. 5.7 + -5.7 + 2a = -9 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + 2a = -9 + -5.7 2a = -9 + -5.7 Combine like terms: -9 + -5.7 = -14.7 2a = -14.7 Divide each side by '2'. a = -7.35 Simplifying a = -7.35
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