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Simplifying 7w + -4 + 2w = 3w + -2 Reorder the terms: -4 + 7w + 2w = 3w + -2 Combine like terms: 7w + 2w = 9w -4 + 9w = 3w + -2 Reorder the terms: -4 + 9w = -2 + 3w Solving -4 + 9w = -2 + 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 + 9w + -3w = -2 + 3w + -3w Combine like terms: 9w + -3w = 6w -4 + 6w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + 6w = -2 + 0 -4 + 6w = -2 Add '4' to each side of the equation. -4 + 4 + 6w = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 6w = -2 + 4 6w = -2 + 4 Combine like terms: -2 + 4 = 2 6w = 2 Divide each side by '6'. w = 0.3333333333 Simplifying w = 0.3333333333
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