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Simplifying w + -2x + -1y + 6w + 14x + -8y = 0 Reorder the terms: w + 6w + -2x + 14x + -1y + -8y = 0 Combine like terms: w + 6w = 7w 7w + -2x + 14x + -1y + -8y = 0 Combine like terms: -2x + 14x = 12x 7w + 12x + -1y + -8y = 0 Combine like terms: -1y + -8y = -9y 7w + 12x + -9y = 0 Solving 7w + 12x + -9y = 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. 7w + 12x + -12x + -9y = 0 + -12x Combine like terms: 12x + -12x = 0 7w + 0 + -9y = 0 + -12x 7w + -9y = 0 + -12x Remove the zero: 7w + -9y = -12x Add '9y' to each side of the equation. 7w + -9y + 9y = -12x + 9y Combine like terms: -9y + 9y = 0 7w + 0 = -12x + 9y 7w = -12x + 9y Divide each side by '7'. w = -1.714285714x + 1.285714286y Simplifying w = -1.714285714x + 1.285714286y
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