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Simplifying 256 + 3w = 384 + 5w Solving 256 + 3w = 384 + 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. 256 + 3w + -5w = 384 + 5w + -5w Combine like terms: 3w + -5w = -2w 256 + -2w = 384 + 5w + -5w Combine like terms: 5w + -5w = 0 256 + -2w = 384 + 0 256 + -2w = 384 Add '-256' to each side of the equation. 256 + -256 + -2w = 384 + -256 Combine like terms: 256 + -256 = 0 0 + -2w = 384 + -256 -2w = 384 + -256 Combine like terms: 384 + -256 = 128 -2w = 128 Divide each side by '-2'. w = -64 Simplifying w = -64
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