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Simplifying x + -6y + 7Z = -39 Reorder the terms: 7Z + x + -6y = -39 Solving 7Z + x + -6y = -39 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-1x' to each side of the equation. 7Z + x + -1x + -6y = -39 + -1x Combine like terms: x + -1x = 0 7Z + 0 + -6y = -39 + -1x 7Z + -6y = -39 + -1x Add '6y' to each side of the equation. 7Z + -6y + 6y = -39 + -1x + 6y Combine like terms: -6y + 6y = 0 7Z + 0 = -39 + -1x + 6y 7Z = -39 + -1x + 6y Divide each side by '7'. Z = -5.571428571 + -0.1428571429x + 0.8571428571y Simplifying Z = -5.571428571 + -0.1428571429x + 0.8571428571y
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