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Simplifying -1(6a + 1) + 2(3 + -1a) = a Reorder the terms: -1(1 + 6a) + 2(3 + -1a) = a (1 * -1 + 6a * -1) + 2(3 + -1a) = a (-1 + -6a) + 2(3 + -1a) = a -1 + -6a + (3 * 2 + -1a * 2) = a -1 + -6a + (6 + -2a) = a Reorder the terms: -1 + 6 + -6a + -2a = a Combine like terms: -1 + 6 = 5 5 + -6a + -2a = a Combine like terms: -6a + -2a = -8a 5 + -8a = a Solving 5 + -8a = 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. 5 + -8a + -1a = a + -1a Combine like terms: -8a + -1a = -9a 5 + -9a = a + -1a Combine like terms: a + -1a = 0 5 + -9a = 0 Add '-5' to each side of the equation. 5 + -5 + -9a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9a = 0 + -5 -9a = 0 + -5 Combine like terms: 0 + -5 = -5 -9a = -5 Divide each side by '-9'. a = 0.5555555556 Simplifying a = 0.5555555556
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