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Simplifying 4 + -2w = 7 + -3w Solving 4 + -2w = 7 + -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. 4 + -2w + 3w = 7 + -3w + 3w Combine like terms: -2w + 3w = 1w 4 + 1w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 4 + 1w = 7 + 0 4 + 1w = 7 Add '-4' to each side of the equation. 4 + -4 + 1w = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1w = 7 + -4 1w = 7 + -4 Combine like terms: 7 + -4 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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