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Simplifying 4z + -10 = 10 + -5z Reorder the terms: -10 + 4z = 10 + -5z Solving -10 + 4z = 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. -10 + 4z + 5z = 10 + -5z + 5z Combine like terms: 4z + 5z = 9z -10 + 9z = 10 + -5z + 5z Combine like terms: -5z + 5z = 0 -10 + 9z = 10 + 0 -10 + 9z = 10 Add '10' to each side of the equation. -10 + 10 + 9z = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 9z = 10 + 10 9z = 10 + 10 Combine like terms: 10 + 10 = 20 9z = 20 Divide each side by '9'. z = 2.222222222 Simplifying z = 2.222222222
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