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Simplifying z + -6z = 5z + -8 + -2 Combine like terms: z + -6z = -5z -5z = 5z + -8 + -2 Reorder the terms: -5z = -8 + -2 + 5z Combine like terms: -8 + -2 = -10 -5z = -10 + 5z Solving -5z = -10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -5z + -5z = -10 + 5z + -5z Combine like terms: -5z + -5z = -10z -10z = -10 + 5z + -5z Combine like terms: 5z + -5z = 0 -10z = -10 + 0 -10z = -10 Divide each side by '-10'. z = 1 Simplifying z = 1
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