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Simplifying 11.6 = 3a + -16.9 Reorder the terms: 11.6 = -16.9 + 3a Solving 11.6 = -16.9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 11.6 + -3a = -16.9 + 3a + -3a Combine like terms: 3a + -3a = 0 11.6 + -3a = -16.9 + 0 11.6 + -3a = -16.9 Add '-11.6' to each side of the equation. 11.6 + -11.6 + -3a = -16.9 + -11.6 Combine like terms: 11.6 + -11.6 = 0.0 0.0 + -3a = -16.9 + -11.6 -3a = -16.9 + -11.6 Combine like terms: -16.9 + -11.6 = -28.5 -3a = -28.5 Divide each side by '-3'. a = 9.5 Simplifying a = 9.5
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