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Simplifying 7 + 6z + -4 = 6z + 39 + -4z Reorder the terms: 7 + -4 + 6z = 6z + 39 + -4z Combine like terms: 7 + -4 = 3 3 + 6z = 6z + 39 + -4z Reorder the terms: 3 + 6z = 39 + 6z + -4z Combine like terms: 6z + -4z = 2z 3 + 6z = 39 + 2z Solving 3 + 6z = 39 + 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. 3 + 6z + -2z = 39 + 2z + -2z Combine like terms: 6z + -2z = 4z 3 + 4z = 39 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 4z = 39 + 0 3 + 4z = 39 Add '-3' to each side of the equation. 3 + -3 + 4z = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = 39 + -3 4z = 39 + -3 Combine like terms: 39 + -3 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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