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Simplifying 4(7x + 6y + -6z) = 0 (7x * 4 + 6y * 4 + -6z * 4) = 0 (28x + 24y + -24z) = 0 Solving 28x + 24y + -24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 28x + 24y + -24y + -24z = 0 + -24y Combine like terms: 24y + -24y = 0 28x + 0 + -24z = 0 + -24y 28x + -24z = 0 + -24y Remove the zero: 28x + -24z = -24y Add '24z' to each side of the equation. 28x + -24z + 24z = -24y + 24z Combine like terms: -24z + 24z = 0 28x + 0 = -24y + 24z 28x = -24y + 24z Divide each side by '28'. x = -0.8571428571y + 0.8571428571z Simplifying x = -0.8571428571y + 0.8571428571z
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