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Simplifying -13.1 + 18w = 18.2w + -10.86 Reorder the terms: -13.1 + 18w = -10.86 + 18.2w Solving -13.1 + 18w = -10.86 + 18.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18.2w' to each side of the equation. -13.1 + 18w + -18.2w = -10.86 + 18.2w + -18.2w Combine like terms: 18w + -18.2w = -0.2w -13.1 + -0.2w = -10.86 + 18.2w + -18.2w Combine like terms: 18.2w + -18.2w = 0.0 -13.1 + -0.2w = -10.86 + 0.0 -13.1 + -0.2w = -10.86 Add '13.1' to each side of the equation. -13.1 + 13.1 + -0.2w = -10.86 + 13.1 Combine like terms: -13.1 + 13.1 = 0.0 0.0 + -0.2w = -10.86 + 13.1 -0.2w = -10.86 + 13.1 Combine like terms: -10.86 + 13.1 = 2.24 -0.2w = 2.24 Divide each side by '-0.2'. w = -11.2 Simplifying w = -11.2
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