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Simplifying -24w + -824 = 8 + -53w Reorder the terms: -824 + -24w = 8 + -53w Solving -824 + -24w = 8 + -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. -824 + -24w + 53w = 8 + -53w + 53w Combine like terms: -24w + 53w = 29w -824 + 29w = 8 + -53w + 53w Combine like terms: -53w + 53w = 0 -824 + 29w = 8 + 0 -824 + 29w = 8 Add '824' to each side of the equation. -824 + 824 + 29w = 8 + 824 Combine like terms: -824 + 824 = 0 0 + 29w = 8 + 824 29w = 8 + 824 Combine like terms: 8 + 824 = 832 29w = 832 Divide each side by '29'. w = 28.68965517 Simplifying w = 28.68965517
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