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Simplifying a + 9 = 8[a + -1(2 + -8)] Reorder the terms: 9 + a = 8[a + -1(2 + -8)] Combine like terms: 2 + -8 = -6 9 + a = 8[a + -1(-6)] Multiply -1 * -6 9 + a = 8[a + 6] Reorder the terms: 9 + a = 8[6 + a] 9 + a = [6 * 8 + a * 8] 9 + a = [48 + 8a] Solving 9 + a = 48 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 9 + a + -8a = 48 + 8a + -8a Combine like terms: a + -8a = -7a 9 + -7a = 48 + 8a + -8a Combine like terms: 8a + -8a = 0 9 + -7a = 48 + 0 9 + -7a = 48 Add '-9' to each side of the equation. 9 + -9 + -7a = 48 + -9 Combine like terms: 9 + -9 = 0 0 + -7a = 48 + -9 -7a = 48 + -9 Combine like terms: 48 + -9 = 39 -7a = 39 Divide each side by '-7'. a = -5.571428571 Simplifying a = -5.571428571
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