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Simplifying 10z + -2 + 5z + 2z + 10 = 14 + -2z Reorder the terms: -2 + 10 + 10z + 5z + 2z = 14 + -2z Combine like terms: -2 + 10 = 8 8 + 10z + 5z + 2z = 14 + -2z Combine like terms: 10z + 5z = 15z 8 + 15z + 2z = 14 + -2z Combine like terms: 15z + 2z = 17z 8 + 17z = 14 + -2z Solving 8 + 17z = 14 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 8 + 17z + 2z = 14 + -2z + 2z Combine like terms: 17z + 2z = 19z 8 + 19z = 14 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 19z = 14 + 0 8 + 19z = 14 Add '-8' to each side of the equation. 8 + -8 + 19z = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 19z = 14 + -8 19z = 14 + -8 Combine like terms: 14 + -8 = 6 19z = 6 Divide each side by '19'. z = 0.3157894737 Simplifying z = 0.3157894737
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