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Simplifying -8 + z = -5z + 10 Reorder the terms: -8 + z = 10 + -5z Solving -8 + z = 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. -8 + z + 5z = 10 + -5z + 5z Combine like terms: z + 5z = 6z -8 + 6z = 10 + -5z + 5z Combine like terms: -5z + 5z = 0 -8 + 6z = 10 + 0 -8 + 6z = 10 Add '8' to each side of the equation. -8 + 8 + 6z = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6z = 10 + 8 6z = 10 + 8 Combine like terms: 10 + 8 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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