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Simplifying 7.5 + 3w = 3.5 + 2w Solving 7.5 + 3w = 3.5 + 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. 7.5 + 3w + -2w = 3.5 + 2w + -2w Combine like terms: 3w + -2w = 1w 7.5 + 1w = 3.5 + 2w + -2w Combine like terms: 2w + -2w = 0 7.5 + 1w = 3.5 + 0 7.5 + 1w = 3.5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 1w = 3.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 1w = 3.5 + -7.5 1w = 3.5 + -7.5 Combine like terms: 3.5 + -7.5 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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