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Simplifying 3w + -6 + 8w + 4 = -5w + -20 Reorder the terms: -6 + 4 + 3w + 8w = -5w + -20 Combine like terms: -6 + 4 = -2 -2 + 3w + 8w = -5w + -20 Combine like terms: 3w + 8w = 11w -2 + 11w = -5w + -20 Reorder the terms: -2 + 11w = -20 + -5w Solving -2 + 11w = -20 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -2 + 11w + 5w = -20 + -5w + 5w Combine like terms: 11w + 5w = 16w -2 + 16w = -20 + -5w + 5w Combine like terms: -5w + 5w = 0 -2 + 16w = -20 + 0 -2 + 16w = -20 Add '2' to each side of the equation. -2 + 2 + 16w = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 16w = -20 + 2 16w = -20 + 2 Combine like terms: -20 + 2 = -18 16w = -18 Divide each side by '16'. w = -1.125 Simplifying w = -1.125
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