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Simplifying -14.21 + -2.2w = -20w + 19.9w + 18.55 Reorder the terms: -14.21 + -2.2w = 18.55 + -20w + 19.9w Combine like terms: -20w + 19.9w = -0.1w -14.21 + -2.2w = 18.55 + -0.1w Solving -14.21 + -2.2w = 18.55 + -0.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.1w' to each side of the equation. -14.21 + -2.2w + 0.1w = 18.55 + -0.1w + 0.1w Combine like terms: -2.2w + 0.1w = -2.1w -14.21 + -2.1w = 18.55 + -0.1w + 0.1w Combine like terms: -0.1w + 0.1w = 0.0 -14.21 + -2.1w = 18.55 + 0.0 -14.21 + -2.1w = 18.55 Add '14.21' to each side of the equation. -14.21 + 14.21 + -2.1w = 18.55 + 14.21 Combine like terms: -14.21 + 14.21 = 0.00 0.00 + -2.1w = 18.55 + 14.21 -2.1w = 18.55 + 14.21 Combine like terms: 18.55 + 14.21 = 32.76 -2.1w = 32.76 Divide each side by '-2.1'. w = -15.6 Simplifying w = -15.6
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