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Simplifying 10x + -2y + 15w + 6y + -5w + 2x = 0 Reorder the terms: 15w + -5w + 10x + 2x + -2y + 6y = 0 Combine like terms: 15w + -5w = 10w 10w + 10x + 2x + -2y + 6y = 0 Combine like terms: 10x + 2x = 12x 10w + 12x + -2y + 6y = 0 Combine like terms: -2y + 6y = 4y 10w + 12x + 4y = 0 Solving 10w + 12x + 4y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 10w + 12x + -12x + 4y = 0 + -12x Combine like terms: 12x + -12x = 0 10w + 0 + 4y = 0 + -12x 10w + 4y = 0 + -12x Remove the zero: 10w + 4y = -12x Add '-4y' to each side of the equation. 10w + 4y + -4y = -12x + -4y Combine like terms: 4y + -4y = 0 10w + 0 = -12x + -4y 10w = -12x + -4y Divide each side by '10'. w = -1.2x + -0.4y Simplifying w = -1.2x + -0.4y
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