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Simplifying 10x + 16y + -6z = 0 Solving 10x + 16y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. 10x + 16y + -16y + -6z = 0 + -16y Combine like terms: 16y + -16y = 0 10x + 0 + -6z = 0 + -16y 10x + -6z = 0 + -16y Remove the zero: 10x + -6z = -16y Add '6z' to each side of the equation. 10x + -6z + 6z = -16y + 6z Combine like terms: -6z + 6z = 0 10x + 0 = -16y + 6z 10x = -16y + 6z Divide each side by '10'. x = -1.6y + 0.6z Simplifying x = -1.6y + 0.6z
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