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Simplifying -1.4w + 5.6 = 6.4w + -2.2 Reorder the terms: 5.6 + -1.4w = 6.4w + -2.2 Reorder the terms: 5.6 + -1.4w = -2.2 + 6.4w Solving 5.6 + -1.4w = -2.2 + 6.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.4w' to each side of the equation. 5.6 + -1.4w + -6.4w = -2.2 + 6.4w + -6.4w Combine like terms: -1.4w + -6.4w = -7.8w 5.6 + -7.8w = -2.2 + 6.4w + -6.4w Combine like terms: 6.4w + -6.4w = 0.0 5.6 + -7.8w = -2.2 + 0.0 5.6 + -7.8w = -2.2 Add '-5.6' to each side of the equation. 5.6 + -5.6 + -7.8w = -2.2 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -7.8w = -2.2 + -5.6 -7.8w = -2.2 + -5.6 Combine like terms: -2.2 + -5.6 = -7.8 -7.8w = -7.8 Divide each side by '-7.8'. w = 1 Simplifying w = 1
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