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Simplifying 50w + -43 = 52w + -81 Reorder the terms: -43 + 50w = 52w + -81 Reorder the terms: -43 + 50w = -81 + 52w Solving -43 + 50w = -81 + 52w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-52w' to each side of the equation. -43 + 50w + -52w = -81 + 52w + -52w Combine like terms: 50w + -52w = -2w -43 + -2w = -81 + 52w + -52w Combine like terms: 52w + -52w = 0 -43 + -2w = -81 + 0 -43 + -2w = -81 Add '43' to each side of the equation. -43 + 43 + -2w = -81 + 43 Combine like terms: -43 + 43 = 0 0 + -2w = -81 + 43 -2w = -81 + 43 Combine like terms: -81 + 43 = -38 -2w = -38 Divide each side by '-2'. w = 19 Simplifying w = 19
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