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Simplifying 3w + 12 = 5w + 24 Reorder the terms: 12 + 3w = 5w + 24 Reorder the terms: 12 + 3w = 24 + 5w Solving 12 + 3w = 24 + 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. 12 + 3w + -5w = 24 + 5w + -5w Combine like terms: 3w + -5w = -2w 12 + -2w = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + -2w = 24 + 0 12 + -2w = 24 Add '-12' to each side of the equation. 12 + -12 + -2w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 24 + -12 -2w = 24 + -12 Combine like terms: 24 + -12 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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