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Simplifying -14.09 + -3.2w = 19.49 + 1.4w Solving -14.09 + -3.2w = 19.49 + 1.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.4w' to each side of the equation. -14.09 + -3.2w + -1.4w = 19.49 + 1.4w + -1.4w Combine like terms: -3.2w + -1.4w = -4.6w -14.09 + -4.6w = 19.49 + 1.4w + -1.4w Combine like terms: 1.4w + -1.4w = 0.0 -14.09 + -4.6w = 19.49 + 0.0 -14.09 + -4.6w = 19.49 Add '14.09' to each side of the equation. -14.09 + 14.09 + -4.6w = 19.49 + 14.09 Combine like terms: -14.09 + 14.09 = 0.00 0.00 + -4.6w = 19.49 + 14.09 -4.6w = 19.49 + 14.09 Combine like terms: 19.49 + 14.09 = 33.58 -4.6w = 33.58 Divide each side by '-4.6'. w = -7.3 Simplifying w = -7.3
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