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Simplifying w + -6 = -4w + -11 Reorder the terms: -6 + w = -4w + -11 Reorder the terms: -6 + w = -11 + -4w Solving -6 + w = -11 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -6 + w + 4w = -11 + -4w + 4w Combine like terms: w + 4w = 5w -6 + 5w = -11 + -4w + 4w Combine like terms: -4w + 4w = 0 -6 + 5w = -11 + 0 -6 + 5w = -11 Add '6' to each side of the equation. -6 + 6 + 5w = -11 + 6 Combine like terms: -6 + 6 = 0 0 + 5w = -11 + 6 5w = -11 + 6 Combine like terms: -11 + 6 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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