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Simplifying w + -4 = -12 + -3w Reorder the terms: -4 + w = -12 + -3w Solving -4 + w = -12 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -4 + w + 3w = -12 + -3w + 3w Combine like terms: w + 3w = 4w -4 + 4w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 -4 + 4w = -12 + 0 -4 + 4w = -12 Add '4' to each side of the equation. -4 + 4 + 4w = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 4w = -12 + 4 4w = -12 + 4 Combine like terms: -12 + 4 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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