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Simplifying 10z + -21 = 3z + 44 Reorder the terms: -21 + 10z = 3z + 44 Reorder the terms: -21 + 10z = 44 + 3z Solving -21 + 10z = 44 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -21 + 10z + -3z = 44 + 3z + -3z Combine like terms: 10z + -3z = 7z -21 + 7z = 44 + 3z + -3z Combine like terms: 3z + -3z = 0 -21 + 7z = 44 + 0 -21 + 7z = 44 Add '21' to each side of the equation. -21 + 21 + 7z = 44 + 21 Combine like terms: -21 + 21 = 0 0 + 7z = 44 + 21 7z = 44 + 21 Combine like terms: 44 + 21 = 65 7z = 65 Divide each side by '7'. z = 9.285714286 Simplifying z = 9.285714286
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