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Simplifying 2(-4x + -5y + 6z) = 0 (-4x * 2 + -5y * 2 + 6z * 2) = 0 (-8x + -10y + 12z) = 0 Solving -8x + -10y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. -8x + -10y + 10y + 12z = 0 + 10y Combine like terms: -10y + 10y = 0 -8x + 0 + 12z = 0 + 10y -8x + 12z = 0 + 10y Remove the zero: -8x + 12z = 10y Add '-12z' to each side of the equation. -8x + 12z + -12z = 10y + -12z Combine like terms: 12z + -12z = 0 -8x + 0 = 10y + -12z -8x = 10y + -12z Divide each side by '-8'. x = -1.25y + 1.5z Simplifying x = -1.25y + 1.5z
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