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Simplifying 11a + 3(1 + -4a) = 11 + -2a 11a + (1 * 3 + -4a * 3) = 11 + -2a 11a + (3 + -12a) = 11 + -2a Reorder the terms: 3 + 11a + -12a = 11 + -2a Combine like terms: 11a + -12a = -1a 3 + -1a = 11 + -2a Solving 3 + -1a = 11 + -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. 3 + -1a + 2a = 11 + -2a + 2a Combine like terms: -1a + 2a = 1a 3 + 1a = 11 + -2a + 2a Combine like terms: -2a + 2a = 0 3 + 1a = 11 + 0 3 + 1a = 11 Add '-3' to each side of the equation. 3 + -3 + 1a = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = 11 + -3 1a = 11 + -3 Combine like terms: 11 + -3 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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