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Simplifying 2(6z + 3) + -7 = 71 Reorder the terms: 2(3 + 6z) + -7 = 71 (3 * 2 + 6z * 2) + -7 = 71 (6 + 12z) + -7 = 71 Reorder the terms: 6 + -7 + 12z = 71 Combine like terms: 6 + -7 = -1 -1 + 12z = 71 Solving -1 + 12z = 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 + 12z = 71 + 1 Combine like terms: -1 + 1 = 0 0 + 12z = 71 + 1 12z = 71 + 1 Combine like terms: 71 + 1 = 72 12z = 72 Divide each side by '12'. z = 6 Simplifying z = 6
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