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Simplifying 94 + (-5) = 54 + 2w + -54 94 + -5 = 54 + 2w + -54 Combine like terms: 94 + -5 = 89 89 = 54 + 2w + -54 Reorder the terms: 89 = 54 + -54 + 2w Combine like terms: 54 + -54 = 0 89 = 0 + 2w 89 = 2w Solving 89 = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 89 + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 89 + -2w = 0 Add '-89' to each side of the equation. 89 + -89 + -2w = 0 + -89 Combine like terms: 89 + -89 = 0 0 + -2w = 0 + -89 -2w = 0 + -89 Combine like terms: 0 + -89 = -89 -2w = -89 Divide each side by '-2'. w = 44.5 Simplifying w = 44.5
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