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Simplifying 3w + 8 = -2w + -12 Reorder the terms: 8 + 3w = -2w + -12 Reorder the terms: 8 + 3w = -12 + -2w Solving 8 + 3w = -12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 8 + 3w + 2w = -12 + -2w + 2w Combine like terms: 3w + 2w = 5w 8 + 5w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 8 + 5w = -12 + 0 8 + 5w = -12 Add '-8' to each side of the equation. 8 + -8 + 5w = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = -12 + -8 5w = -12 + -8 Combine like terms: -12 + -8 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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