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Simplifying 5w + 8y + -12w = 16 + -15w Reorder the terms: 5w + -12w + 8y = 16 + -15w Combine like terms: 5w + -12w = -7w -7w + 8y = 16 + -15w Solving -7w + 8y = 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. -7w + 15w + 8y = 16 + -15w + 15w Combine like terms: -7w + 15w = 8w 8w + 8y = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 8w + 8y = 16 + 0 8w + 8y = 16 Add '-8y' to each side of the equation. 8w + 8y + -8y = 16 + -8y Combine like terms: 8y + -8y = 0 8w + 0 = 16 + -8y 8w = 16 + -8y Divide each side by '8'. w = 2 + -1y Simplifying w = 2 + -1y
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