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Simplifying 10w + -20 + -3w + 6 = 3 + -4w + -4 Reorder the terms: -20 + 6 + 10w + -3w = 3 + -4w + -4 Combine like terms: -20 + 6 = -14 -14 + 10w + -3w = 3 + -4w + -4 Combine like terms: 10w + -3w = 7w -14 + 7w = 3 + -4w + -4 Reorder the terms: -14 + 7w = 3 + -4 + -4w Combine like terms: 3 + -4 = -1 -14 + 7w = -1 + -4w Solving -14 + 7w = -1 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -14 + 7w + 4w = -1 + -4w + 4w Combine like terms: 7w + 4w = 11w -14 + 11w = -1 + -4w + 4w Combine like terms: -4w + 4w = 0 -14 + 11w = -1 + 0 -14 + 11w = -1 Add '14' to each side of the equation. -14 + 14 + 11w = -1 + 14 Combine like terms: -14 + 14 = 0 0 + 11w = -1 + 14 11w = -1 + 14 Combine like terms: -1 + 14 = 13 11w = 13 Divide each side by '11'. w = 1.181818182 Simplifying w = 1.181818182
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