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Simplifying 3w + 2x + 15y + 5w + 10x + -8y = 0 Reorder the terms: 3w + 5w + 2x + 10x + 15y + -8y = 0 Combine like terms: 3w + 5w = 8w 8w + 2x + 10x + 15y + -8y = 0 Combine like terms: 2x + 10x = 12x 8w + 12x + 15y + -8y = 0 Combine like terms: 15y + -8y = 7y 8w + 12x + 7y = 0 Solving 8w + 12x + 7y = 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. 8w + 12x + -12x + 7y = 0 + -12x Combine like terms: 12x + -12x = 0 8w + 0 + 7y = 0 + -12x 8w + 7y = 0 + -12x Remove the zero: 8w + 7y = -12x Add '-7y' to each side of the equation. 8w + 7y + -7y = -12x + -7y Combine like terms: 7y + -7y = 0 8w + 0 = -12x + -7y 8w = -12x + -7y Divide each side by '8'. w = -1.5x + -0.875y Simplifying w = -1.5x + -0.875y
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