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Simplifying 3 + 6z + -2 = 9z + 28 + -6z Reorder the terms: 3 + -2 + 6z = 9z + 28 + -6z Combine like terms: 3 + -2 = 1 1 + 6z = 9z + 28 + -6z Reorder the terms: 1 + 6z = 28 + 9z + -6z Combine like terms: 9z + -6z = 3z 1 + 6z = 28 + 3z Solving 1 + 6z = 28 + 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. 1 + 6z + -3z = 28 + 3z + -3z Combine like terms: 6z + -3z = 3z 1 + 3z = 28 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 3z = 28 + 0 1 + 3z = 28 Add '-1' to each side of the equation. 1 + -1 + 3z = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 28 + -1 3z = 28 + -1 Combine like terms: 28 + -1 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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