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Simplifying 3w + 6x + -15y + 4w + 5x + 7y = 0 Reorder the terms: 3w + 4w + 6x + 5x + -15y + 7y = 0 Combine like terms: 3w + 4w = 7w 7w + 6x + 5x + -15y + 7y = 0 Combine like terms: 6x + 5x = 11x 7w + 11x + -15y + 7y = 0 Combine like terms: -15y + 7y = -8y 7w + 11x + -8y = 0 Solving 7w + 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. 7w + 11x + -11x + -8y = 0 + -11x Combine like terms: 11x + -11x = 0 7w + 0 + -8y = 0 + -11x 7w + -8y = 0 + -11x Remove the zero: 7w + -8y = -11x Add '8y' to each side of the equation. 7w + -8y + 8y = -11x + 8y Combine like terms: -8y + 8y = 0 7w + 0 = -11x + 8y 7w = -11x + 8y Divide each side by '7'. w = -1.571428571x + 1.142857143y Simplifying w = -1.571428571x + 1.142857143y
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