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Simplifying -13.1w + -17.26 + -4.58 = 12.18 + 11.2w Reorder the terms: -17.26 + -4.58 + -13.1w = 12.18 + 11.2w Combine like terms: -17.26 + -4.58 = -21.84 -21.84 + -13.1w = 12.18 + 11.2w Solving -21.84 + -13.1w = 12.18 + 11.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11.2w' to each side of the equation. -21.84 + -13.1w + -11.2w = 12.18 + 11.2w + -11.2w Combine like terms: -13.1w + -11.2w = -24.3w -21.84 + -24.3w = 12.18 + 11.2w + -11.2w Combine like terms: 11.2w + -11.2w = 0.0 -21.84 + -24.3w = 12.18 + 0.0 -21.84 + -24.3w = 12.18 Add '21.84' to each side of the equation. -21.84 + 21.84 + -24.3w = 12.18 + 21.84 Combine like terms: -21.84 + 21.84 = 0.00 0.00 + -24.3w = 12.18 + 21.84 -24.3w = 12.18 + 21.84 Combine like terms: 12.18 + 21.84 = 34.02 -24.3w = 34.02 Divide each side by '-24.3'. w = -1.4 Simplifying w = -1.4
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