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Simplifying -12x + 4y + -5w + 3x + -4 + 5x + -2w + 10 = 0 Reorder the terms: -4 + 10 + -5w + -2w + -12x + 3x + 5x + 4y = 0 Combine like terms: -4 + 10 = 6 6 + -5w + -2w + -12x + 3x + 5x + 4y = 0 Combine like terms: -5w + -2w = -7w 6 + -7w + -12x + 3x + 5x + 4y = 0 Combine like terms: -12x + 3x = -9x 6 + -7w + -9x + 5x + 4y = 0 Combine like terms: -9x + 5x = -4x 6 + -7w + -4x + 4y = 0 Solving 6 + -7w + -4x + 4y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -7w + -4x + -6 + 4y = 0 + -6 Reorder the terms: 6 + -6 + -7w + -4x + 4y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7w + -4x + 4y = 0 + -6 -7w + -4x + 4y = 0 + -6 Combine like terms: 0 + -6 = -6 -7w + -4x + 4y = -6 Add '4x' to each side of the equation. -7w + -4x + 4x + 4y = -6 + 4x Combine like terms: -4x + 4x = 0 -7w + 0 + 4y = -6 + 4x -7w + 4y = -6 + 4x Add '-4y' to each side of the equation. -7w + 4y + -4y = -6 + 4x + -4y Combine like terms: 4y + -4y = 0 -7w + 0 = -6 + 4x + -4y -7w = -6 + 4x + -4y Divide each side by '-7'. w = 0.8571428571 + -0.5714285714x + 0.5714285714y Simplifying w = 0.8571428571 + -0.5714285714x + 0.5714285714y
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