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Simplifying 3w + 8x + -11y + 4w + 6x + 3y = 0 Reorder the terms: 3w + 4w + 8x + 6x + -11y + 3y = 0 Combine like terms: 3w + 4w = 7w 7w + 8x + 6x + -11y + 3y = 0 Combine like terms: 8x + 6x = 14x 7w + 14x + -11y + 3y = 0 Combine like terms: -11y + 3y = -8y 7w + 14x + -8y = 0 Solving 7w + 14x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 7w + 14x + -14x + -8y = 0 + -14x Combine like terms: 14x + -14x = 0 7w + 0 + -8y = 0 + -14x 7w + -8y = 0 + -14x Remove the zero: 7w + -8y = -14x Add '8y' to each side of the equation. 7w + -8y + 8y = -14x + 8y Combine like terms: -8y + 8y = 0 7w + 0 = -14x + 8y 7w = -14x + 8y Divide each side by '7'. w = -2x + 1.142857143y Simplifying w = -2x + 1.142857143y
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