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Simplifying 8(w + -3y) = 3(w + -2y) (w * 8 + -3y * 8) = 3(w + -2y) (8w + -24y) = 3(w + -2y) 8w + -24y = (w * 3 + -2y * 3) 8w + -24y = (3w + -6y) Solving 8w + -24y = 3w + -6y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8w + -3w + -24y = 3w + -3w + -6y Combine like terms: 8w + -3w = 5w 5w + -24y = 3w + -3w + -6y Combine like terms: 3w + -3w = 0 5w + -24y = 0 + -6y 5w + -24y = -6y Add '24y' to each side of the equation. 5w + -24y + 24y = -6y + 24y Combine like terms: -24y + 24y = 0 5w + 0 = -6y + 24y 5w = -6y + 24y Combine like terms: -6y + 24y = 18y 5w = 18y Divide each side by '5'. w = 3.6y Simplifying w = 3.6y
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