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Simplifying 10z + -9 = 4z + 21 Reorder the terms: -9 + 10z = 4z + 21 Reorder the terms: -9 + 10z = 21 + 4z Solving -9 + 10z = 21 + 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. -9 + 10z + -4z = 21 + 4z + -4z Combine like terms: 10z + -4z = 6z -9 + 6z = 21 + 4z + -4z Combine like terms: 4z + -4z = 0 -9 + 6z = 21 + 0 -9 + 6z = 21 Add '9' to each side of the equation. -9 + 9 + 6z = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 6z = 21 + 9 6z = 21 + 9 Combine like terms: 21 + 9 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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