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Simplifying -13.91 + 4.9w = 6.5w + 7.69 Reorder the terms: -13.91 + 4.9w = 7.69 + 6.5w Solving -13.91 + 4.9w = 7.69 + 6.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.5w' to each side of the equation. -13.91 + 4.9w + -6.5w = 7.69 + 6.5w + -6.5w Combine like terms: 4.9w + -6.5w = -1.6w -13.91 + -1.6w = 7.69 + 6.5w + -6.5w Combine like terms: 6.5w + -6.5w = 0.0 -13.91 + -1.6w = 7.69 + 0.0 -13.91 + -1.6w = 7.69 Add '13.91' to each side of the equation. -13.91 + 13.91 + -1.6w = 7.69 + 13.91 Combine like terms: -13.91 + 13.91 = 0.00 0.00 + -1.6w = 7.69 + 13.91 -1.6w = 7.69 + 13.91 Combine like terms: 7.69 + 13.91 = 21.6 -1.6w = 21.6 Divide each side by '-1.6'. w = -13.5 Simplifying w = -13.5
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