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Simplifying 5w + 8 + -12w = 11 + -15w Reorder the terms: 8 + 5w + -12w = 11 + -15w Combine like terms: 5w + -12w = -7w 8 + -7w = 11 + -15w Solving 8 + -7w = 11 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 8 + -7w + 15w = 11 + -15w + 15w Combine like terms: -7w + 15w = 8w 8 + 8w = 11 + -15w + 15w Combine like terms: -15w + 15w = 0 8 + 8w = 11 + 0 8 + 8w = 11 Add '-8' to each side of the equation. 8 + -8 + 8w = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 11 + -8 8w = 11 + -8 Combine like terms: 11 + -8 = 3 8w = 3 Divide each side by '8'. w = 0.375 Simplifying w = 0.375
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