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Simplifying -13(7x + -6y + 9z) = 0 (7x * -13 + -6y * -13 + 9z * -13) = 0 (-91x + 78y + -117z) = 0 Solving -91x + 78y + -117z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78y' to each side of the equation. -91x + 78y + -78y + -117z = 0 + -78y Combine like terms: 78y + -78y = 0 -91x + 0 + -117z = 0 + -78y -91x + -117z = 0 + -78y Remove the zero: -91x + -117z = -78y Add '117z' to each side of the equation. -91x + -117z + 117z = -78y + 117z Combine like terms: -117z + 117z = 0 -91x + 0 = -78y + 117z -91x = -78y + 117z Divide each side by '-91'. x = 0.8571428571y + -1.285714286z Simplifying x = 0.8571428571y + -1.285714286z
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