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Simplifying 11w + 2(2a + 1) = 5w + -6 Reorder the terms: 11w + 2(1 + 2a) = 5w + -6 11w + (1 * 2 + 2a * 2) = 5w + -6 11w + (2 + 4a) = 5w + -6 Reorder the terms: 2 + 4a + 11w = 5w + -6 Reorder the terms: 2 + 4a + 11w = -6 + 5w Solving 2 + 4a + 11w = -6 + 5w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4a + -2 + 11w = -6 + -2 + 5w Reorder the terms: 2 + -2 + 4a + 11w = -6 + -2 + 5w Combine like terms: 2 + -2 = 0 0 + 4a + 11w = -6 + -2 + 5w 4a + 11w = -6 + -2 + 5w Combine like terms: -6 + -2 = -8 4a + 11w = -8 + 5w Add '-11w' to each side of the equation. 4a + 11w + -11w = -8 + 5w + -11w Combine like terms: 11w + -11w = 0 4a + 0 = -8 + 5w + -11w 4a = -8 + 5w + -11w Combine like terms: 5w + -11w = -6w 4a = -8 + -6w Divide each side by '4'. a = -2 + -1.5w Simplifying a = -2 + -1.5w
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