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Simplifying 6z + -14 = 10 + 3z Reorder the terms: -14 + 6z = 10 + 3z Solving -14 + 6z = 10 + 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. -14 + 6z + -3z = 10 + 3z + -3z Combine like terms: 6z + -3z = 3z -14 + 3z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 -14 + 3z = 10 + 0 -14 + 3z = 10 Add '14' to each side of the equation. -14 + 14 + 3z = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3z = 10 + 14 3z = 10 + 14 Combine like terms: 10 + 14 = 24 3z = 24 Divide each side by '3'. z = 8 Simplifying z = 8
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