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Simplifying 1 + -2y + -3z = 3z + -2y + -1x Reorder the terms: 1 + -2y + -3z = -1x + -2y + 3z Add '2y' to each side of the equation. 1 + -2y + 2y + -3z = -1x + -2y + 2y + 3z Combine like terms: -2y + 2y = 0 1 + 0 + -3z = -1x + -2y + 2y + 3z 1 + -3z = -1x + -2y + 2y + 3z Combine like terms: -2y + 2y = 0 1 + -3z = -1x + 0 + 3z 1 + -3z = -1x + 3z Solving 1 + -3z = -1x + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + -3z + -3z = -1x + 3z + -3z Combine like terms: -3z + -3z = -6z 1 + -6z = -1x + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -6z = -1x + 0 1 + -6z = -1x Add '-1' to each side of the equation. 1 + -1 + -6z = -1 + -1x Combine like terms: 1 + -1 = 0 0 + -6z = -1 + -1x -6z = -1 + -1x Divide each side by '-6'. z = 0.1666666667 + 0.1666666667x Simplifying z = 0.1666666667 + 0.1666666667x
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