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Simplifying -4x + -8y + 10z + -6w = 0 Reorder the terms: -6w + -4x + -8y + 10z = 0 Solving -6w + -4x + -8y + 10z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. -6w + -4x + -8y + 4x + 10z = 0 + 4x Reorder the terms: -6w + -4x + 4x + -8y + 10z = 0 + 4x Combine like terms: -4x + 4x = 0 -6w + 0 + -8y + 10z = 0 + 4x -6w + -8y + 10z = 0 + 4x Remove the zero: -6w + -8y + 10z = 4x Add '8y' to each side of the equation. -6w + -8y + 8y + 10z = 4x + 8y Combine like terms: -8y + 8y = 0 -6w + 0 + 10z = 4x + 8y -6w + 10z = 4x + 8y Add '-10z' to each side of the equation. -6w + 10z + -10z = 4x + 8y + -10z Combine like terms: 10z + -10z = 0 -6w + 0 = 4x + 8y + -10z -6w = 4x + 8y + -10z Divide each side by '-6'. w = -0.6666666667x + -1.333333333y + 1.666666667z Simplifying w = -0.6666666667x + -1.333333333y + 1.666666667z
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