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Simplifying -166 = 2(8a + 6) Reorder the terms: -166 = 2(6 + 8a) -166 = (6 * 2 + 8a * 2) -166 = (12 + 16a) Solving -166 = 12 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -166 + -16a = 12 + 16a + -16a Combine like terms: 16a + -16a = 0 -166 + -16a = 12 + 0 -166 + -16a = 12 Add '166' to each side of the equation. -166 + 166 + -16a = 12 + 166 Combine like terms: -166 + 166 = 0 0 + -16a = 12 + 166 -16a = 12 + 166 Combine like terms: 12 + 166 = 178 -16a = 178 Divide each side by '-16'. a = -11.125 Simplifying a = -11.125
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