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Simplifying 2w + -7 = 8 + -3w Reorder the terms: -7 + 2w = 8 + -3w Solving -7 + 2w = 8 + -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. -7 + 2w + 3w = 8 + -3w + 3w Combine like terms: 2w + 3w = 5w -7 + 5w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 5w = 8 + 0 -7 + 5w = 8 Add '7' to each side of the equation. -7 + 7 + 5w = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5w = 8 + 7 5w = 8 + 7 Combine like terms: 8 + 7 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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