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Simplifying 5x + -3y + 8w + 2y + -2w + 7x = 0 Reorder the terms: 8w + -2w + 5x + 7x + -3y + 2y = 0 Combine like terms: 8w + -2w = 6w 6w + 5x + 7x + -3y + 2y = 0 Combine like terms: 5x + 7x = 12x 6w + 12x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y 6w + 12x + -1y = 0 Solving 6w + 12x + -1y = 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. 6w + 12x + -12x + -1y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + -1y = 0 + -12x 6w + -1y = 0 + -12x Remove the zero: 6w + -1y = -12x Add 'y' to each side of the equation. 6w + -1y + y = -12x + y Combine like terms: -1y + y = 0 6w + 0 = -12x + y 6w = -12x + y Divide each side by '6'. w = -2x + 0.1666666667y Simplifying w = -2x + 0.1666666667y
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