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Simplifying 3z + -21 + 5z = 4 + -6z + 17 Reorder the terms: -21 + 3z + 5z = 4 + -6z + 17 Combine like terms: 3z + 5z = 8z -21 + 8z = 4 + -6z + 17 Reorder the terms: -21 + 8z = 4 + 17 + -6z Combine like terms: 4 + 17 = 21 -21 + 8z = 21 + -6z Solving -21 + 8z = 21 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -21 + 8z + 6z = 21 + -6z + 6z Combine like terms: 8z + 6z = 14z -21 + 14z = 21 + -6z + 6z Combine like terms: -6z + 6z = 0 -21 + 14z = 21 + 0 -21 + 14z = 21 Add '21' to each side of the equation. -21 + 21 + 14z = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 14z = 21 + 21 14z = 21 + 21 Combine like terms: 21 + 21 = 42 14z = 42 Divide each side by '14'. z = 3 Simplifying z = 3
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