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Simplifying z + -10 + 5 = 10 + -4z Reorder the terms: -10 + 5 + z = 10 + -4z Combine like terms: -10 + 5 = -5 -5 + z = 10 + -4z Solving -5 + z = 10 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -5 + z + 4z = 10 + -4z + 4z Combine like terms: z + 4z = 5z -5 + 5z = 10 + -4z + 4z Combine like terms: -4z + 4z = 0 -5 + 5z = 10 + 0 -5 + 5z = 10 Add '5' to each side of the equation. -5 + 5 + 5z = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 5z = 10 + 5 5z = 10 + 5 Combine like terms: 10 + 5 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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