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Simplifying 323 = -1 + 6(8a + 6) Reorder the terms: 323 = -1 + 6(6 + 8a) 323 = -1 + (6 * 6 + 8a * 6) 323 = -1 + (36 + 48a) Combine like terms: -1 + 36 = 35 323 = 35 + 48a Solving 323 = 35 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 323 + -48a = 35 + 48a + -48a Combine like terms: 48a + -48a = 0 323 + -48a = 35 + 0 323 + -48a = 35 Add '-323' to each side of the equation. 323 + -323 + -48a = 35 + -323 Combine like terms: 323 + -323 = 0 0 + -48a = 35 + -323 -48a = 35 + -323 Combine like terms: 35 + -323 = -288 -48a = -288 Divide each side by '-48'. a = 6 Simplifying a = 6
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