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Simplifying 83w + 48w + (-81w) + -48w + (-37) = 33 83w + 48w + (-81w) + -48w + -37 = 33 Reorder the terms: -37 + 83w + 48w + (-81w) + -48w = 33 Combine like terms: 83w + 48w = 131w -37 + 131w + (-81w) + -48w = 33 Combine like terms: 131w + (-81w) = 50w -37 + 50w + -48w = 33 Combine like terms: 50w + -48w = 2w -37 + 2w = 33 Solving -37 + 2w = 33 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 2w = 33 + 37 Combine like terms: -37 + 37 = 0 0 + 2w = 33 + 37 2w = 33 + 37 Combine like terms: 33 + 37 = 70 2w = 70 Divide each side by '2'. w = 35 Simplifying w = 35
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