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Simplifying 6(3w + -4y) + -1(15w + 4y) = 0 (3w * 6 + -4y * 6) + -1(15w + 4y) = 0 (18w + -24y) + -1(15w + 4y) = 0 18w + -24y + (15w * -1 + 4y * -1) = 0 18w + -24y + (-15w + -4y) = 0 Reorder the terms: 18w + -15w + -24y + -4y = 0 Combine like terms: 18w + -15w = 3w 3w + -24y + -4y = 0 Combine like terms: -24y + -4y = -28y 3w + -28y = 0 Solving 3w + -28y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28y' to each side of the equation. 3w + -28y + 28y = 0 + 28y Combine like terms: -28y + 28y = 0 3w + 0 = 0 + 28y 3w = 0 + 28y Remove the zero: 3w = 28y Divide each side by '3'. w = 9.333333333y Simplifying w = 9.333333333y
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