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Simplifying 5w + 8 + -12w = 16 + -25w Reorder the terms: 8 + 5w + -12w = 16 + -25w Combine like terms: 5w + -12w = -7w 8 + -7w = 16 + -25w Solving 8 + -7w = 16 + -25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25w' to each side of the equation. 8 + -7w + 25w = 16 + -25w + 25w Combine like terms: -7w + 25w = 18w 8 + 18w = 16 + -25w + 25w Combine like terms: -25w + 25w = 0 8 + 18w = 16 + 0 8 + 18w = 16 Add '-8' to each side of the equation. 8 + -8 + 18w = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 18w = 16 + -8 18w = 16 + -8 Combine like terms: 16 + -8 = 8 18w = 8 Divide each side by '18'. w = 0.4444444444 Simplifying w = 0.4444444444
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