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Simplifying 6a + -1(5 + -1a) = 4a + -11 6a + (5 * -1 + -1a * -1) = 4a + -11 6a + (-5 + 1a) = 4a + -11 Reorder the terms: -5 + 6a + 1a = 4a + -11 Combine like terms: 6a + 1a = 7a -5 + 7a = 4a + -11 Reorder the terms: -5 + 7a = -11 + 4a Solving -5 + 7a = -11 + 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. -5 + 7a + -4a = -11 + 4a + -4a Combine like terms: 7a + -4a = 3a -5 + 3a = -11 + 4a + -4a Combine like terms: 4a + -4a = 0 -5 + 3a = -11 + 0 -5 + 3a = -11 Add '5' to each side of the equation. -5 + 5 + 3a = -11 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -11 + 5 3a = -11 + 5 Combine like terms: -11 + 5 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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