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Simplifying -3w + 11 = -81w + 51 Reorder the terms: 11 + -3w = -81w + 51 Reorder the terms: 11 + -3w = 51 + -81w Solving 11 + -3w = 51 + -81w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '81w' to each side of the equation. 11 + -3w + 81w = 51 + -81w + 81w Combine like terms: -3w + 81w = 78w 11 + 78w = 51 + -81w + 81w Combine like terms: -81w + 81w = 0 11 + 78w = 51 + 0 11 + 78w = 51 Add '-11' to each side of the equation. 11 + -11 + 78w = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 78w = 51 + -11 78w = 51 + -11 Combine like terms: 51 + -11 = 40 78w = 40 Divide each side by '78'. w = 0.5128205128 Simplifying w = 0.5128205128
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