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Simplifying 6z + -1(11x + -10y) = 0 6z + (11x * -1 + -10y * -1) = 0 6z + (-11x + 10y) = 0 Reorder the terms: -11x + 10y + 6z = 0 Solving -11x + 10y + 6z = 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. -11x + 10y + -10y + 6z = 0 + -10y Combine like terms: 10y + -10y = 0 -11x + 0 + 6z = 0 + -10y -11x + 6z = 0 + -10y Remove the zero: -11x + 6z = -10y Add '-6z' to each side of the equation. -11x + 6z + -6z = -10y + -6z Combine like terms: 6z + -6z = 0 -11x + 0 = -10y + -6z -11x = -10y + -6z Divide each side by '-11'. x = 0.9090909091y + 0.5454545455z Simplifying x = 0.9090909091y + 0.5454545455z
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