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Simplifying 5w + 8 + -12w = 16 + -5w Reorder the terms: 8 + 5w + -12w = 16 + -5w Combine like terms: 5w + -12w = -7w 8 + -7w = 16 + -5w Solving 8 + -7w = 16 + -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 + -7w + 5w = 16 + -5w + 5w Combine like terms: -7w + 5w = -2w 8 + -2w = 16 + -5w + 5w Combine like terms: -5w + 5w = 0 8 + -2w = 16 + 0 8 + -2w = 16 Add '-8' to each side of the equation. 8 + -8 + -2w = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 16 + -8 -2w = 16 + -8 Combine like terms: 16 + -8 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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