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Simplifying 6x + -3y + 12w + -5y + -4w + 5x = 0 Reorder the terms: 12w + -4w + 6x + 5x + -3y + -5y = 0 Combine like terms: 12w + -4w = 8w 8w + 6x + 5x + -3y + -5y = 0 Combine like terms: 6x + 5x = 11x 8w + 11x + -3y + -5y = 0 Combine like terms: -3y + -5y = -8y 8w + 11x + -8y = 0 Solving 8w + 11x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 8w + 11x + -11x + -8y = 0 + -11x Combine like terms: 11x + -11x = 0 8w + 0 + -8y = 0 + -11x 8w + -8y = 0 + -11x Remove the zero: 8w + -8y = -11x Add '8y' to each side of the equation. 8w + -8y + 8y = -11x + 8y Combine like terms: -8y + 8y = 0 8w + 0 = -11x + 8y 8w = -11x + 8y Divide each side by '8'. w = -1.375x + y Simplifying w = -1.375x + y
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