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Simplifying 6 + 3z + -5 = 8 + 10 + -4z Reorder the terms: 6 + -5 + 3z = 8 + 10 + -4z Combine like terms: 6 + -5 = 1 1 + 3z = 8 + 10 + -4z Combine like terms: 8 + 10 = 18 1 + 3z = 18 + -4z Solving 1 + 3z = 18 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 1 + 3z + 4z = 18 + -4z + 4z Combine like terms: 3z + 4z = 7z 1 + 7z = 18 + -4z + 4z Combine like terms: -4z + 4z = 0 1 + 7z = 18 + 0 1 + 7z = 18 Add '-1' to each side of the equation. 1 + -1 + 7z = 18 + -1 Combine like terms: 1 + -1 = 0 0 + 7z = 18 + -1 7z = 18 + -1 Combine like terms: 18 + -1 = 17 7z = 17 Divide each side by '7'. z = 2.428571429 Simplifying z = 2.428571429
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