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Simplifying 85 + -3w = 55 + 2w Solving 85 + -3w = 55 + 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. 85 + -3w + -2w = 55 + 2w + -2w Combine like terms: -3w + -2w = -5w 85 + -5w = 55 + 2w + -2w Combine like terms: 2w + -2w = 0 85 + -5w = 55 + 0 85 + -5w = 55 Add '-85' to each side of the equation. 85 + -85 + -5w = 55 + -85 Combine like terms: 85 + -85 = 0 0 + -5w = 55 + -85 -5w = 55 + -85 Combine like terms: 55 + -85 = -30 -5w = -30 Divide each side by '-5'. w = 6 Simplifying w = 6
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