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Simplifying 2w + -7 + 3w = 5 + -4w + 7 Reorder the terms: -7 + 2w + 3w = 5 + -4w + 7 Combine like terms: 2w + 3w = 5w -7 + 5w = 5 + -4w + 7 Reorder the terms: -7 + 5w = 5 + 7 + -4w Combine like terms: 5 + 7 = 12 -7 + 5w = 12 + -4w Solving -7 + 5w = 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. -7 + 5w + 4w = 12 + -4w + 4w Combine like terms: 5w + 4w = 9w -7 + 9w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 -7 + 9w = 12 + 0 -7 + 9w = 12 Add '7' to each side of the equation. -7 + 7 + 9w = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 9w = 12 + 7 9w = 12 + 7 Combine like terms: 12 + 7 = 19 9w = 19 Divide each side by '9'. w = 2.111111111 Simplifying w = 2.111111111
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