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Simplifying 9x + 8y + 9z + -1(3x + -4z) = 0 9x + 8y + 9z + (3x * -1 + -4z * -1) = 0 9x + 8y + 9z + (-3x + 4z) = 0 Reorder the terms: 9x + -3x + 8y + 9z + 4z = 0 Combine like terms: 9x + -3x = 6x 6x + 8y + 9z + 4z = 0 Combine like terms: 9z + 4z = 13z 6x + 8y + 13z = 0 Solving 6x + 8y + 13z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 6x + 8y + -8y + 13z = 0 + -8y Combine like terms: 8y + -8y = 0 6x + 0 + 13z = 0 + -8y 6x + 13z = 0 + -8y Remove the zero: 6x + 13z = -8y Add '-13z' to each side of the equation. 6x + 13z + -13z = -8y + -13z Combine like terms: 13z + -13z = 0 6x + 0 = -8y + -13z 6x = -8y + -13z Divide each side by '6'. x = -1.333333333y + -2.166666667z Simplifying x = -1.333333333y + -2.166666667z
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