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Simplifying 8x + -3y + 16w + 6y + -6w + 6x = 0 Reorder the terms: 16w + -6w + 8x + 6x + -3y + 6y = 0 Combine like terms: 16w + -6w = 10w 10w + 8x + 6x + -3y + 6y = 0 Combine like terms: 8x + 6x = 14x 10w + 14x + -3y + 6y = 0 Combine like terms: -3y + 6y = 3y 10w + 14x + 3y = 0 Solving 10w + 14x + 3y = 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. 10w + 14x + -14x + 3y = 0 + -14x Combine like terms: 14x + -14x = 0 10w + 0 + 3y = 0 + -14x 10w + 3y = 0 + -14x Remove the zero: 10w + 3y = -14x Add '-3y' to each side of the equation. 10w + 3y + -3y = -14x + -3y Combine like terms: 3y + -3y = 0 10w + 0 = -14x + -3y 10w = -14x + -3y Divide each side by '10'. w = -1.4x + -0.3y Simplifying w = -1.4x + -0.3y
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