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Simplifying 93w + 7w + -105 + 97 = 53w + 37 Reorder the terms: -105 + 97 + 93w + 7w = 53w + 37 Combine like terms: -105 + 97 = -8 -8 + 93w + 7w = 53w + 37 Combine like terms: 93w + 7w = 100w -8 + 100w = 53w + 37 Reorder the terms: -8 + 100w = 37 + 53w Solving -8 + 100w = 37 + 53w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-53w' to each side of the equation. -8 + 100w + -53w = 37 + 53w + -53w Combine like terms: 100w + -53w = 47w -8 + 47w = 37 + 53w + -53w Combine like terms: 53w + -53w = 0 -8 + 47w = 37 + 0 -8 + 47w = 37 Add '8' to each side of the equation. -8 + 8 + 47w = 37 + 8 Combine like terms: -8 + 8 = 0 0 + 47w = 37 + 8 47w = 37 + 8 Combine like terms: 37 + 8 = 45 47w = 45 Divide each side by '47'. w = 0.9574468085 Simplifying w = 0.9574468085
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