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Simplifying 3w + 8 = 5w + -20 Reorder the terms: 8 + 3w = 5w + -20 Reorder the terms: 8 + 3w = -20 + 5w Solving 8 + 3w = -20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 8 + 3w + -5w = -20 + 5w + -5w Combine like terms: 3w + -5w = -2w 8 + -2w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -2w = -20 + 0 8 + -2w = -20 Add '-8' to each side of the equation. 8 + -8 + -2w = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = -20 + -8 -2w = -20 + -8 Combine like terms: -20 + -8 = -28 -2w = -28 Divide each side by '-2'. w = 14 Simplifying w = 14
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