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Simplifying 9a + -1(3a + -8) = 3(7a + -2) Reorder the terms: 9a + -1(-8 + 3a) = 3(7a + -2) 9a + (-8 * -1 + 3a * -1) = 3(7a + -2) 9a + (8 + -3a) = 3(7a + -2) Reorder the terms: 8 + 9a + -3a = 3(7a + -2) Combine like terms: 9a + -3a = 6a 8 + 6a = 3(7a + -2) Reorder the terms: 8 + 6a = 3(-2 + 7a) 8 + 6a = (-2 * 3 + 7a * 3) 8 + 6a = (-6 + 21a) Solving 8 + 6a = -6 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 8 + 6a + -21a = -6 + 21a + -21a Combine like terms: 6a + -21a = -15a 8 + -15a = -6 + 21a + -21a Combine like terms: 21a + -21a = 0 8 + -15a = -6 + 0 8 + -15a = -6 Add '-8' to each side of the equation. 8 + -8 + -15a = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -15a = -6 + -8 -15a = -6 + -8 Combine like terms: -6 + -8 = -14 -15a = -14 Divide each side by '-15'. a = 0.9333333333 Simplifying a = 0.9333333333
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