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Simplifying -15.01 + -7.88 + 5.6w = 7.7w + 17.64 Combine like terms: -15.01 + -7.88 = -22.89 -22.89 + 5.6w = 7.7w + 17.64 Reorder the terms: -22.89 + 5.6w = 17.64 + 7.7w Solving -22.89 + 5.6w = 17.64 + 7.7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.7w' to each side of the equation. -22.89 + 5.6w + -7.7w = 17.64 + 7.7w + -7.7w Combine like terms: 5.6w + -7.7w = -2.1w -22.89 + -2.1w = 17.64 + 7.7w + -7.7w Combine like terms: 7.7w + -7.7w = 0.0 -22.89 + -2.1w = 17.64 + 0.0 -22.89 + -2.1w = 17.64 Add '22.89' to each side of the equation. -22.89 + 22.89 + -2.1w = 17.64 + 22.89 Combine like terms: -22.89 + 22.89 = 0.00 0.00 + -2.1w = 17.64 + 22.89 -2.1w = 17.64 + 22.89 Combine like terms: 17.64 + 22.89 = 40.53 -2.1w = 40.53 Divide each side by '-2.1'. w = -19.3 Simplifying w = -19.3
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