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Simplifying 4(3z + 1) + -9 = 91 Reorder the terms: 4(1 + 3z) + -9 = 91 (1 * 4 + 3z * 4) + -9 = 91 (4 + 12z) + -9 = 91 Reorder the terms: 4 + -9 + 12z = 91 Combine like terms: 4 + -9 = -5 -5 + 12z = 91 Solving -5 + 12z = 91 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12z = 91 + 5 Combine like terms: -5 + 5 = 0 0 + 12z = 91 + 5 12z = 91 + 5 Combine like terms: 91 + 5 = 96 12z = 96 Divide each side by '12'. z = 8 Simplifying z = 8
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