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Simplifying 2w + 8 = 7w + 18 Reorder the terms: 8 + 2w = 7w + 18 Reorder the terms: 8 + 2w = 18 + 7w Solving 8 + 2w = 18 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 8 + 2w + -7w = 18 + 7w + -7w Combine like terms: 2w + -7w = -5w 8 + -5w = 18 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + -5w = 18 + 0 8 + -5w = 18 Add '-8' to each side of the equation. 8 + -8 + -5w = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -5w = 18 + -8 -5w = 18 + -8 Combine like terms: 18 + -8 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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