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Simplifying 4x + 7y + 5y + 2 + 6x + -4w = 0 Reorder the terms: 2 + -4w + 4x + 6x + 7y + 5y = 0 Combine like terms: 4x + 6x = 10x 2 + -4w + 10x + 7y + 5y = 0 Combine like terms: 7y + 5y = 12y 2 + -4w + 10x + 12y = 0 Solving 2 + -4w + 10x + 12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4w + 10x + -2 + 12y = 0 + -2 Reorder the terms: 2 + -2 + -4w + 10x + 12y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4w + 10x + 12y = 0 + -2 -4w + 10x + 12y = 0 + -2 Combine like terms: 0 + -2 = -2 -4w + 10x + 12y = -2 Add '-10x' to each side of the equation. -4w + 10x + -10x + 12y = -2 + -10x Combine like terms: 10x + -10x = 0 -4w + 0 + 12y = -2 + -10x -4w + 12y = -2 + -10x Add '-12y' to each side of the equation. -4w + 12y + -12y = -2 + -10x + -12y Combine like terms: 12y + -12y = 0 -4w + 0 = -2 + -10x + -12y -4w = -2 + -10x + -12y Divide each side by '-4'. w = 0.5 + 2.5x + 3y Simplifying w = 0.5 + 2.5x + 3y
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