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Simplifying 6w + 6y + 102x + -15y + 4w = 0 Reorder the terms: 6w + 4w + 102x + 6y + -15y = 0 Combine like terms: 6w + 4w = 10w 10w + 102x + 6y + -15y = 0 Combine like terms: 6y + -15y = -9y 10w + 102x + -9y = 0 Solving 10w + 102x + -9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-102x' to each side of the equation. 10w + 102x + -102x + -9y = 0 + -102x Combine like terms: 102x + -102x = 0 10w + 0 + -9y = 0 + -102x 10w + -9y = 0 + -102x Remove the zero: 10w + -9y = -102x Add '9y' to each side of the equation. 10w + -9y + 9y = -102x + 9y Combine like terms: -9y + 9y = 0 10w + 0 = -102x + 9y 10w = -102x + 9y Divide each side by '10'. w = -10.2x + 0.9y Simplifying w = -10.2x + 0.9y
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