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Simplifying -7 + -1w = w + 7 Reorder the terms: -7 + -1w = 7 + w Solving -7 + -1w = 7 + 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. -7 + -1w + -1w = 7 + w + -1w Combine like terms: -1w + -1w = -2w -7 + -2w = 7 + w + -1w Combine like terms: w + -1w = 0 -7 + -2w = 7 + 0 -7 + -2w = 7 Add '7' to each side of the equation. -7 + 7 + -2w = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 7 + 7 -2w = 7 + 7 Combine like terms: 7 + 7 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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