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Simplifying 5x + 6y + 4y + 2w + 6z + -6w = 0 Reorder the terms: 2w + -6w + 5x + 6y + 4y + 6z = 0 Combine like terms: 2w + -6w = -4w -4w + 5x + 6y + 4y + 6z = 0 Combine like terms: 6y + 4y = 10y -4w + 5x + 10y + 6z = 0 Solving -4w + 5x + 10y + 6z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. -4w + 5x + 10y + -5x + 6z = 0 + -5x Reorder the terms: -4w + 5x + -5x + 10y + 6z = 0 + -5x Combine like terms: 5x + -5x = 0 -4w + 0 + 10y + 6z = 0 + -5x -4w + 10y + 6z = 0 + -5x Remove the zero: -4w + 10y + 6z = -5x Add '-10y' to each side of the equation. -4w + 10y + -10y + 6z = -5x + -10y Combine like terms: 10y + -10y = 0 -4w + 0 + 6z = -5x + -10y -4w + 6z = -5x + -10y Add '-6z' to each side of the equation. -4w + 6z + -6z = -5x + -10y + -6z Combine like terms: 6z + -6z = 0 -4w + 0 = -5x + -10y + -6z -4w = -5x + -10y + -6z Divide each side by '-4'. w = 1.25x + 2.5y + 1.5z Simplifying w = 1.25x + 2.5y + 1.5z
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