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Simplifying 8 = 4w + 12 Reorder the terms: 8 = 12 + 4w Solving 8 = 12 + 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. 8 + -4w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -4w = 12 + 0 8 + -4w = 12 Add '-8' to each side of the equation. 8 + -8 + -4w = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = 12 + -8 -4w = 12 + -8 Combine like terms: 12 + -8 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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