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Simplifying 2.3w + 15 = 5.2 + 0.3w Reorder the terms: 15 + 2.3w = 5.2 + 0.3w Solving 15 + 2.3w = 5.2 + 0.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.3w' to each side of the equation. 15 + 2.3w + -0.3w = 5.2 + 0.3w + -0.3w Combine like terms: 2.3w + -0.3w = 2w 15 + 2w = 5.2 + 0.3w + -0.3w Combine like terms: 0.3w + -0.3w = 0.0 15 + 2w = 5.2 + 0.0 15 + 2w = 5.2 Add '-15' to each side of the equation. 15 + -15 + 2w = 5.2 + -15 Combine like terms: 15 + -15 = 0 0 + 2w = 5.2 + -15 2w = 5.2 + -15 Combine like terms: 5.2 + -15 = -9.8 2w = -9.8 Divide each side by '2'. w = -4.9 Simplifying w = -4.9
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