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Simplifying 7 + -4 = 2 + 3w + -2w Combine like terms: 7 + -4 = 3 3 = 2 + 3w + -2w Combine like terms: 3w + -2w = 1w 3 = 2 + 1w Solving 3 = 2 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 3 + -1w = 2 + 1w + -1w Combine like terms: 1w + -1w = 0 3 + -1w = 2 + 0 3 + -1w = 2 Add '-3' to each side of the equation. 3 + -3 + -1w = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 2 + -3 -1w = 2 + -3 Combine like terms: 2 + -3 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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