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Simplifying 10z + -5 + 3z = 8 + -2z Reorder the terms: -5 + 10z + 3z = 8 + -2z Combine like terms: 10z + 3z = 13z -5 + 13z = 8 + -2z Solving -5 + 13z = 8 + -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. -5 + 13z + 2z = 8 + -2z + 2z Combine like terms: 13z + 2z = 15z -5 + 15z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 -5 + 15z = 8 + 0 -5 + 15z = 8 Add '5' to each side of the equation. -5 + 5 + 15z = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 15z = 8 + 5 15z = 8 + 5 Combine like terms: 8 + 5 = 13 15z = 13 Divide each side by '15'. z = 0.8666666667 Simplifying z = 0.8666666667
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