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Simplifying 9 + 19z + -3 = 8z + 91 + -6z Reorder the terms: 9 + -3 + 19z = 8z + 91 + -6z Combine like terms: 9 + -3 = 6 6 + 19z = 8z + 91 + -6z Reorder the terms: 6 + 19z = 91 + 8z + -6z Combine like terms: 8z + -6z = 2z 6 + 19z = 91 + 2z Solving 6 + 19z = 91 + 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. 6 + 19z + -2z = 91 + 2z + -2z Combine like terms: 19z + -2z = 17z 6 + 17z = 91 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 17z = 91 + 0 6 + 17z = 91 Add '-6' to each side of the equation. 6 + -6 + 17z = 91 + -6 Combine like terms: 6 + -6 = 0 0 + 17z = 91 + -6 17z = 91 + -6 Combine like terms: 91 + -6 = 85 17z = 85 Divide each side by '17'. z = 5 Simplifying z = 5
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