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Simplifying -7 = (w + 6) + -8w Reorder the terms: -7 = (6 + w) + -8w Remove parenthesis around (6 + w) -7 = 6 + w + -8w Combine like terms: w + -8w = -7w -7 = 6 + -7w Solving -7 = 6 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -7 + 7w = 6 + -7w + 7w Combine like terms: -7w + 7w = 0 -7 + 7w = 6 + 0 -7 + 7w = 6 Add '7' to each side of the equation. -7 + 7 + 7w = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 7w = 6 + 7 7w = 6 + 7 Combine like terms: 6 + 7 = 13 7w = 13 Divide each side by '7'. w = 1.857142857 Simplifying w = 1.857142857
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