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Simplifying 4x + -3y + 16w + 4y + -6w + 8x = 0 Reorder the terms: 16w + -6w + 4x + 8x + -3y + 4y = 0 Combine like terms: 16w + -6w = 10w 10w + 4x + 8x + -3y + 4y = 0 Combine like terms: 4x + 8x = 12x 10w + 12x + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y 10w + 12x + 1y = 0 Solving 10w + 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. 10w + 12x + -12x + 1y = 0 + -12x Combine like terms: 12x + -12x = 0 10w + 0 + 1y = 0 + -12x 10w + 1y = 0 + -12x Remove the zero: 10w + 1y = -12x Add '-1y' to each side of the equation. 10w + 1y + -1y = -12x + -1y Combine like terms: 1y + -1y = 0 10w + 0 = -12x + -1y 10w = -12x + -1y Divide each side by '10'. w = -1.2x + -0.1y Simplifying w = -1.2x + -0.1y
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