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Simplifying 4(3z + 2) + -9 = 83 Reorder the terms: 4(2 + 3z) + -9 = 83 (2 * 4 + 3z * 4) + -9 = 83 (8 + 12z) + -9 = 83 Reorder the terms: 8 + -9 + 12z = 83 Combine like terms: 8 + -9 = -1 -1 + 12z = 83 Solving -1 + 12z = 83 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 = 83 + 1 Combine like terms: -1 + 1 = 0 0 + 12z = 83 + 1 12z = 83 + 1 Combine like terms: 83 + 1 = 84 12z = 84 Divide each side by '12'. z = 7 Simplifying z = 7
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