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Simplifying 8x + -3y + 12w + 3y + -6w + 5x = 0 Reorder the terms: 12w + -6w + 8x + 5x + -3y + 3y = 0 Combine like terms: 12w + -6w = 6w 6w + 8x + 5x + -3y + 3y = 0 Combine like terms: 8x + 5x = 13x 6w + 13x + -3y + 3y = 0 Combine like terms: -3y + 3y = 0 6w + 13x + 0 = 0 6w + 13x = 0 Solving 6w + 13x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 6w + 13x + -13x = 0 + -13x Combine like terms: 13x + -13x = 0 6w + 0 = 0 + -13x 6w = 0 + -13x Remove the zero: 6w = -13x Divide each side by '6'. w = -2.166666667x Simplifying w = -2.166666667x
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