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Simplifying 36.50 + 5.25w = 26.24 + 6.50w Solving 36.50 + 5.25w = 26.24 + 6.50w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.50w' to each side of the equation. 36.50 + 5.25w + -6.50w = 26.24 + 6.50w + -6.50w Combine like terms: 5.25w + -6.50w = -1.25w 36.50 + -1.25w = 26.24 + 6.50w + -6.50w Combine like terms: 6.50w + -6.50w = 0.00 36.50 + -1.25w = 26.24 + 0.00 36.50 + -1.25w = 26.24 Add '-36.50' to each side of the equation. 36.50 + -36.50 + -1.25w = 26.24 + -36.50 Combine like terms: 36.50 + -36.50 = 0.00 0.00 + -1.25w = 26.24 + -36.50 -1.25w = 26.24 + -36.50 Combine like terms: 26.24 + -36.50 = -10.26 -1.25w = -10.26 Divide each side by '-1.25'. w = 8.208 Simplifying w = 8.208
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