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Simplifying 7w + 1 = -4w Reorder the terms: 1 + 7w = -4w Solving 1 + 7w = -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. 1 + 7w + 4w = -4w + 4w Combine like terms: 7w + 4w = 11w 1 + 11w = -4w + 4w Combine like terms: -4w + 4w = 0 1 + 11w = 0 Add '-1' to each side of the equation. 1 + -1 + 11w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11w = 0 + -1 11w = 0 + -1 Combine like terms: 0 + -1 = -1 11w = -1 Divide each side by '11'. w = -0.09090909091 Simplifying w = -0.09090909091
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