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Simplifying 6a + -1(9 + -1a) = 4a + -12 6a + (9 * -1 + -1a * -1) = 4a + -12 6a + (-9 + 1a) = 4a + -12 Reorder the terms: -9 + 6a + 1a = 4a + -12 Combine like terms: 6a + 1a = 7a -9 + 7a = 4a + -12 Reorder the terms: -9 + 7a = -12 + 4a Solving -9 + 7a = -12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -9 + 7a + -4a = -12 + 4a + -4a Combine like terms: 7a + -4a = 3a -9 + 3a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 -9 + 3a = -12 + 0 -9 + 3a = -12 Add '9' to each side of the equation. -9 + 9 + 3a = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = -12 + 9 3a = -12 + 9 Combine like terms: -12 + 9 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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