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Simplifying 3a + -9(a + -1) = a + 5 Reorder the terms: 3a + -9(-1 + a) = a + 5 3a + (-1 * -9 + a * -9) = a + 5 3a + (9 + -9a) = a + 5 Reorder the terms: 9 + 3a + -9a = a + 5 Combine like terms: 3a + -9a = -6a 9 + -6a = a + 5 Reorder the terms: 9 + -6a = 5 + a Solving 9 + -6a = 5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 9 + -6a + -1a = 5 + a + -1a Combine like terms: -6a + -1a = -7a 9 + -7a = 5 + a + -1a Combine like terms: a + -1a = 0 9 + -7a = 5 + 0 9 + -7a = 5 Add '-9' to each side of the equation. 9 + -9 + -7a = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -7a = 5 + -9 -7a = 5 + -9 Combine like terms: 5 + -9 = -4 -7a = -4 Divide each side by '-7'. a = 0.5714285714 Simplifying a = 0.5714285714
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