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Simplifying 7w + -12 = 8 + 3w Reorder the terms: -12 + 7w = 8 + 3w Solving -12 + 7w = 8 + 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. -12 + 7w + -3w = 8 + 3w + -3w Combine like terms: 7w + -3w = 4w -12 + 4w = 8 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + 4w = 8 + 0 -12 + 4w = 8 Add '12' to each side of the equation. -12 + 12 + 4w = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = 8 + 12 4w = 8 + 12 Combine like terms: 8 + 12 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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