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Simplifying -2 + z = -8 + -5z Solving -2 + z = -8 + -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. -2 + z + 5z = -8 + -5z + 5z Combine like terms: z + 5z = 6z -2 + 6z = -8 + -5z + 5z Combine like terms: -5z + 5z = 0 -2 + 6z = -8 + 0 -2 + 6z = -8 Add '2' to each side of the equation. -2 + 2 + 6z = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 6z = -8 + 2 6z = -8 + 2 Combine like terms: -8 + 2 = -6 6z = -6 Divide each side by '6'. z = -1 Simplifying z = -1
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