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Simplifying 4w + 7y + 6x + 6x + -15y + 4w = 0 Reorder the terms: 4w + 4w + 6x + 6x + 7y + -15y = 0 Combine like terms: 4w + 4w = 8w 8w + 6x + 6x + 7y + -15y = 0 Combine like terms: 6x + 6x = 12x 8w + 12x + 7y + -15y = 0 Combine like terms: 7y + -15y = -8y 8w + 12x + -8y = 0 Solving 8w + 12x + -8y = 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 + -8y = 0 + -12x Combine like terms: 12x + -12x = 0 8w + 0 + -8y = 0 + -12x 8w + -8y = 0 + -12x Remove the zero: 8w + -8y = -12x Add '8y' to each side of the equation. 8w + -8y + 8y = -12x + 8y Combine like terms: -8y + 8y = 0 8w + 0 = -12x + 8y 8w = -12x + 8y Divide each side by '8'. w = -1.5x + y Simplifying w = -1.5x + y
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