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Simplifying 6 + 17z + -4 = 9z + 86 + -6z Reorder the terms: 6 + -4 + 17z = 9z + 86 + -6z Combine like terms: 6 + -4 = 2 2 + 17z = 9z + 86 + -6z Reorder the terms: 2 + 17z = 86 + 9z + -6z Combine like terms: 9z + -6z = 3z 2 + 17z = 86 + 3z Solving 2 + 17z = 86 + 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. 2 + 17z + -3z = 86 + 3z + -3z Combine like terms: 17z + -3z = 14z 2 + 14z = 86 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 14z = 86 + 0 2 + 14z = 86 Add '-2' to each side of the equation. 2 + -2 + 14z = 86 + -2 Combine like terms: 2 + -2 = 0 0 + 14z = 86 + -2 14z = 86 + -2 Combine like terms: 86 + -2 = 84 14z = 84 Divide each side by '14'. z = 6 Simplifying z = 6
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