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Simplifying 3(3z + 2) + -7 = 71 Reorder the terms: 3(2 + 3z) + -7 = 71 (2 * 3 + 3z * 3) + -7 = 71 (6 + 9z) + -7 = 71 Reorder the terms: 6 + -7 + 9z = 71 Combine like terms: 6 + -7 = -1 -1 + 9z = 71 Solving -1 + 9z = 71 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9z = 71 + 1 Combine like terms: -1 + 1 = 0 0 + 9z = 71 + 1 9z = 71 + 1 Combine like terms: 71 + 1 = 72 9z = 72 Divide each side by '9'. z = 8 Simplifying z = 8
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