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Simplifying 209 = 11(5a + -6) Reorder the terms: 209 = 11(-6 + 5a) 209 = (-6 * 11 + 5a * 11) 209 = (-66 + 55a) Solving 209 = -66 + 55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55a' to each side of the equation. 209 + -55a = -66 + 55a + -55a Combine like terms: 55a + -55a = 0 209 + -55a = -66 + 0 209 + -55a = -66 Add '-209' to each side of the equation. 209 + -209 + -55a = -66 + -209 Combine like terms: 209 + -209 = 0 0 + -55a = -66 + -209 -55a = -66 + -209 Combine like terms: -66 + -209 = -275 -55a = -275 Divide each side by '-55'. a = 5 Simplifying a = 5
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