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Simplifying 8z + 5 + 6z = -3z + 10 Reorder the terms: 5 + 8z + 6z = -3z + 10 Combine like terms: 8z + 6z = 14z 5 + 14z = -3z + 10 Reorder the terms: 5 + 14z = 10 + -3z Solving 5 + 14z = 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. 5 + 14z + 3z = 10 + -3z + 3z Combine like terms: 14z + 3z = 17z 5 + 17z = 10 + -3z + 3z Combine like terms: -3z + 3z = 0 5 + 17z = 10 + 0 5 + 17z = 10 Add '-5' to each side of the equation. 5 + -5 + 17z = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 17z = 10 + -5 17z = 10 + -5 Combine like terms: 10 + -5 = 5 17z = 5 Divide each side by '17'. z = 0.2941176471 Simplifying z = 0.2941176471
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