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Simplifying 2w + 4 = 5w + -8 Reorder the terms: 4 + 2w = 5w + -8 Reorder the terms: 4 + 2w = -8 + 5w Solving 4 + 2w = -8 + 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. 4 + 2w + -5w = -8 + 5w + -5w Combine like terms: 2w + -5w = -3w 4 + -3w = -8 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + -3w = -8 + 0 4 + -3w = -8 Add '-4' to each side of the equation. 4 + -4 + -3w = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = -8 + -4 -3w = -8 + -4 Combine like terms: -8 + -4 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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