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Simplifying 266 = 8(9 + -12a) + 2 266 = (9 * 8 + -12a * 8) + 2 266 = (72 + -96a) + 2 Reorder the terms: 266 = 72 + 2 + -96a Combine like terms: 72 + 2 = 74 266 = 74 + -96a Solving 266 = 74 + -96a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '96a' to each side of the equation. 266 + 96a = 74 + -96a + 96a Combine like terms: -96a + 96a = 0 266 + 96a = 74 + 0 266 + 96a = 74 Add '-266' to each side of the equation. 266 + -266 + 96a = 74 + -266 Combine like terms: 266 + -266 = 0 0 + 96a = 74 + -266 96a = 74 + -266 Combine like terms: 74 + -266 = -192 96a = -192 Divide each side by '96'. a = -2 Simplifying a = -2
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