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Simplifying 6 + -12 = 4w + -4 Combine like terms: 6 + -12 = -6 -6 = 4w + -4 Reorder the terms: -6 = -4 + 4w Solving -6 = -4 + 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 + -4w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + -4w = -4 + 0 -6 + -4w = -4 Add '6' to each side of the equation. -6 + 6 + -4w = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -4w = -4 + 6 -4w = -4 + 6 Combine like terms: -4 + 6 = 2 -4w = 2 Divide each side by '-4'. w = -0.5 Simplifying w = -0.5
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