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Simplifying -1w + -7 = w + 41 Reorder the terms: -7 + -1w = w + 41 Reorder the terms: -7 + -1w = 41 + w Solving -7 + -1w = 41 + 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 = 41 + w + -1w Combine like terms: -1w + -1w = -2w -7 + -2w = 41 + w + -1w Combine like terms: w + -1w = 0 -7 + -2w = 41 + 0 -7 + -2w = 41 Add '7' to each side of the equation. -7 + 7 + -2w = 41 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 41 + 7 -2w = 41 + 7 Combine like terms: 41 + 7 = 48 -2w = 48 Divide each side by '-2'. w = -24 Simplifying w = -24
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