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Simplifying 3w + 2x + 15y + 5w + 10x + -7x = 0 Reorder the terms: 3w + 5w + 2x + 10x + -7x + 15y = 0 Combine like terms: 3w + 5w = 8w 8w + 2x + 10x + -7x + 15y = 0 Combine like terms: 2x + 10x = 12x 8w + 12x + -7x + 15y = 0 Combine like terms: 12x + -7x = 5x 8w + 5x + 15y = 0 Solving 8w + 5x + 15y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 8w + 5x + -5x + 15y = 0 + -5x Combine like terms: 5x + -5x = 0 8w + 0 + 15y = 0 + -5x 8w + 15y = 0 + -5x Remove the zero: 8w + 15y = -5x Add '-15y' to each side of the equation. 8w + 15y + -15y = -5x + -15y Combine like terms: 15y + -15y = 0 8w + 0 = -5x + -15y 8w = -5x + -15y Divide each side by '8'. w = -0.625x + -1.875y Simplifying w = -0.625x + -1.875y
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