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Simplifying 7w + -9 = 4w + 12 Reorder the terms: -9 + 7w = 4w + 12 Reorder the terms: -9 + 7w = 12 + 4w Solving -9 + 7w = 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. -9 + 7w + -4w = 12 + 4w + -4w Combine like terms: 7w + -4w = 3w -9 + 3w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 -9 + 3w = 12 + 0 -9 + 3w = 12 Add '9' to each side of the equation. -9 + 9 + 3w = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3w = 12 + 9 3w = 12 + 9 Combine like terms: 12 + 9 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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