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Simplifying 5w + 87 + -12w = 16 + -15w Reorder the terms: 87 + 5w + -12w = 16 + -15w Combine like terms: 5w + -12w = -7w 87 + -7w = 16 + -15w Solving 87 + -7w = 16 + -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. 87 + -7w + 15w = 16 + -15w + 15w Combine like terms: -7w + 15w = 8w 87 + 8w = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 87 + 8w = 16 + 0 87 + 8w = 16 Add '-87' to each side of the equation. 87 + -87 + 8w = 16 + -87 Combine like terms: 87 + -87 = 0 0 + 8w = 16 + -87 8w = 16 + -87 Combine like terms: 16 + -87 = -71 8w = -71 Divide each side by '8'. w = -8.875 Simplifying w = -8.875
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