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Simplifying 7w + -3 = 2w + 17 Reorder the terms: -3 + 7w = 2w + 17 Reorder the terms: -3 + 7w = 17 + 2w Solving -3 + 7w = 17 + 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. -3 + 7w + -2w = 17 + 2w + -2w Combine like terms: 7w + -2w = 5w -3 + 5w = 17 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 5w = 17 + 0 -3 + 5w = 17 Add '3' to each side of the equation. -3 + 3 + 5w = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 5w = 17 + 3 5w = 17 + 3 Combine like terms: 17 + 3 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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