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Simplifying 3(3z + 2) = 6z + 7 + 2z + 6 Reorder the terms: 3(2 + 3z) = 6z + 7 + 2z + 6 (2 * 3 + 3z * 3) = 6z + 7 + 2z + 6 (6 + 9z) = 6z + 7 + 2z + 6 Reorder the terms: 6 + 9z = 7 + 6 + 6z + 2z Combine like terms: 7 + 6 = 13 6 + 9z = 13 + 6z + 2z Combine like terms: 6z + 2z = 8z 6 + 9z = 13 + 8z Solving 6 + 9z = 13 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 6 + 9z + -8z = 13 + 8z + -8z Combine like terms: 9z + -8z = 1z 6 + 1z = 13 + 8z + -8z Combine like terms: 8z + -8z = 0 6 + 1z = 13 + 0 6 + 1z = 13 Add '-6' to each side of the equation. 6 + -6 + 1z = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 13 + -6 1z = 13 + -6 Combine like terms: 13 + -6 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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