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Simplifying a + 9 = 8[a + -1(2 + -1a)] Reorder the terms: 9 + a = 8[a + -1(2 + -1a)] 9 + a = 8[a + (2 * -1 + -1a * -1)] 9 + a = 8[a + (-2 + 1a)] Reorder the terms: 9 + a = 8[-2 + a + 1a] Combine like terms: a + 1a = 2a 9 + a = 8[-2 + 2a] 9 + a = [-2 * 8 + 2a * 8] 9 + a = [-16 + 16a] Solving 9 + a = -16 + 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. 9 + a + -16a = -16 + 16a + -16a Combine like terms: a + -16a = -15a 9 + -15a = -16 + 16a + -16a Combine like terms: 16a + -16a = 0 9 + -15a = -16 + 0 9 + -15a = -16 Add '-9' to each side of the equation. 9 + -9 + -15a = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -15a = -16 + -9 -15a = -16 + -9 Combine like terms: -16 + -9 = -25 -15a = -25 Divide each side by '-15'. a = 1.666666667 Simplifying a = 1.666666667
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