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Simplifying -1z + -9z = 3z + 7 + 2 Combine like terms: -1z + -9z = -10z -10z = 3z + 7 + 2 Reorder the terms: -10z = 7 + 2 + 3z Combine like terms: 7 + 2 = 9 -10z = 9 + 3z Solving -10z = 9 + 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. -10z + -3z = 9 + 3z + -3z Combine like terms: -10z + -3z = -13z -13z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 -13z = 9 + 0 -13z = 9 Divide each side by '-13'. z = -0.6923076923 Simplifying z = -0.6923076923
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