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Simplifying 4w + -5 = 5w + -41 Reorder the terms: -5 + 4w = 5w + -41 Reorder the terms: -5 + 4w = -41 + 5w Solving -5 + 4w = -41 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -5 + 4w + -5w = -41 + 5w + -5w Combine like terms: 4w + -5w = -1w -5 + -1w = -41 + 5w + -5w Combine like terms: 5w + -5w = 0 -5 + -1w = -41 + 0 -5 + -1w = -41 Add '5' to each side of the equation. -5 + 5 + -1w = -41 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = -41 + 5 -1w = -41 + 5 Combine like terms: -41 + 5 = -36 -1w = -36 Divide each side by '-1'. w = 36 Simplifying w = 36
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