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Simplifying 54 = 5w + -61 Reorder the terms: 54 = -61 + 5w Solving 54 = -61 + 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. 54 + -5w = -61 + 5w + -5w Combine like terms: 5w + -5w = 0 54 + -5w = -61 + 0 54 + -5w = -61 Add '-54' to each side of the equation. 54 + -54 + -5w = -61 + -54 Combine like terms: 54 + -54 = 0 0 + -5w = -61 + -54 -5w = -61 + -54 Combine like terms: -61 + -54 = -115 -5w = -115 Divide each side by '-5'. w = 23 Simplifying w = 23
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