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