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Simplifying 8w + -12 = 4w + 16 Reorder the terms: -12 + 8w = 4w + 16 Reorder the terms: -12 + 8w = 16 + 4w Solving -12 + 8w = 16 + 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. -12 + 8w + -4w = 16 + 4w + -4w Combine like terms: 8w + -4w = 4w -12 + 4w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + 4w = 16 + 0 -12 + 4w = 16 Add '12' to each side of the equation. -12 + 12 + 4w = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = 16 + 12 4w = 16 + 12 Combine like terms: 16 + 12 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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