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Simplifying 4(3 + -1a) + -1(6a + 1) = -11a (3 * 4 + -1a * 4) + -1(6a + 1) = -11a (12 + -4a) + -1(6a + 1) = -11a Reorder the terms: 12 + -4a + -1(1 + 6a) = -11a 12 + -4a + (1 * -1 + 6a * -1) = -11a 12 + -4a + (-1 + -6a) = -11a Reorder the terms: 12 + -1 + -4a + -6a = -11a Combine like terms: 12 + -1 = 11 11 + -4a + -6a = -11a Combine like terms: -4a + -6a = -10a 11 + -10a = -11a Solving 11 + -10a = -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 11 + -10a + 11a = -11a + 11a Combine like terms: -10a + 11a = 1a 11 + 1a = -11a + 11a Combine like terms: -11a + 11a = 0 11 + 1a = 0 Add '-11' to each side of the equation. 11 + -11 + 1a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1a = 0 + -11 1a = 0 + -11 Combine like terms: 0 + -11 = -11 1a = -11 Divide each side by '1'. a = -11 Simplifying a = -11
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