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Simplifying 1 + -7w = w + -2 Reorder the terms: 1 + -7w = -2 + w Solving 1 + -7w = -2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 1 + -7w + -1w = -2 + w + -1w Combine like terms: -7w + -1w = -8w 1 + -8w = -2 + w + -1w Combine like terms: w + -1w = 0 1 + -8w = -2 + 0 1 + -8w = -2 Add '-1' to each side of the equation. 1 + -1 + -8w = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -8w = -2 + -1 -8w = -2 + -1 Combine like terms: -2 + -1 = -3 -8w = -3 Divide each side by '-8'. w = 0.375 Simplifying w = 0.375
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