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Simplifying 4a + 2(-2 + a) + (-1 + -1a + -1(-2 + a)) = 11 4a + (-2 * 2 + a * 2) + (-1 + -1a + -1(-2 + a)) = 11 4a + (-4 + 2a) + (-1 + -1a + -1(-2 + a)) = 11 4a + -4 + 2a + (-1 + -1a + (-2 * -1 + a * -1)) = 11 4a + -4 + 2a + (-1 + -1a + (2 + -1a)) = 11 Reorder the terms: 4a + -4 + 2a + (-1 + 2 + -1a + -1a) = 11 Combine like terms: -1 + 2 = 1 4a + -4 + 2a + (1 + -1a + -1a) = 11 Combine like terms: -1a + -1a = -2a 4a + -4 + 2a + (1 + -2a) = 11 Remove parenthesis around (1 + -2a) 4a + -4 + 2a + 1 + -2a = 11 Reorder the terms: -4 + 1 + 4a + 2a + -2a = 11 Combine like terms: -4 + 1 = -3 -3 + 4a + 2a + -2a = 11 Combine like terms: 4a + 2a = 6a -3 + 6a + -2a = 11 Combine like terms: 6a + -2a = 4a -3 + 4a = 11 Solving -3 + 4a = 11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4a = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 11 + 3 4a = 11 + 3 Combine like terms: 11 + 3 = 14 4a = 14 Divide each side by '4'. a = 3.5 Simplifying a = 3.5
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