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Simplifying 1 + -6(a + -1) = 9 + a Reorder the terms: 1 + -6(-1 + a) = 9 + a 1 + (-1 * -6 + a * -6) = 9 + a 1 + (6 + -6a) = 9 + a Combine like terms: 1 + 6 = 7 7 + -6a = 9 + a Solving 7 + -6a = 9 + 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. 7 + -6a + -1a = 9 + a + -1a Combine like terms: -6a + -1a = -7a 7 + -7a = 9 + a + -1a Combine like terms: a + -1a = 0 7 + -7a = 9 + 0 7 + -7a = 9 Add '-7' to each side of the equation. 7 + -7 + -7a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -7a = 9 + -7 -7a = 9 + -7 Combine like terms: 9 + -7 = 2 -7a = 2 Divide each side by '-7'. a = -0.2857142857 Simplifying a = -0.2857142857
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