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Simplifying 2w + 5 + 3w = 14 + -2w + -2 Reorder the terms: 5 + 2w + 3w = 14 + -2w + -2 Combine like terms: 2w + 3w = 5w 5 + 5w = 14 + -2w + -2 Reorder the terms: 5 + 5w = 14 + -2 + -2w Combine like terms: 14 + -2 = 12 5 + 5w = 12 + -2w Solving 5 + 5w = 12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 5 + 5w + 2w = 12 + -2w + 2w Combine like terms: 5w + 2w = 7w 5 + 7w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 7w = 12 + 0 5 + 7w = 12 Add '-5' to each side of the equation. 5 + -5 + 7w = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7w = 12 + -5 7w = 12 + -5 Combine like terms: 12 + -5 = 7 7w = 7 Divide each side by '7'. w = 1 Simplifying w = 1
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