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