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Simplifying 5x + 10y + -11z + 6w = 0 Reorder the terms: 6w + 5x + 10y + -11z = 0 Solving 6w + 5x + 10y + -11z = 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. 6w + 5x + 10y + -5x + -11z = 0 + -5x Reorder the terms: 6w + 5x + -5x + 10y + -11z = 0 + -5x Combine like terms: 5x + -5x = 0 6w + 0 + 10y + -11z = 0 + -5x 6w + 10y + -11z = 0 + -5x Remove the zero: 6w + 10y + -11z = -5x Add '-10y' to each side of the equation. 6w + 10y + -10y + -11z = -5x + -10y Combine like terms: 10y + -10y = 0 6w + 0 + -11z = -5x + -10y 6w + -11z = -5x + -10y Add '11z' to each side of the equation. 6w + -11z + 11z = -5x + -10y + 11z Combine like terms: -11z + 11z = 0 6w + 0 = -5x + -10y + 11z 6w = -5x + -10y + 11z Divide each side by '6'. w = -0.8333333333x + -1.666666667y + 1.833333333z Simplifying w = -0.8333333333x + -1.666666667y + 1.833333333z
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