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Simplifying 3(4z + 1) + -7 = 80 Reorder the terms: 3(1 + 4z) + -7 = 80 (1 * 3 + 4z * 3) + -7 = 80 (3 + 12z) + -7 = 80 Reorder the terms: 3 + -7 + 12z = 80 Combine like terms: 3 + -7 = -4 -4 + 12z = 80 Solving -4 + 12z = 80 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12z = 80 + 4 Combine like terms: -4 + 4 = 0 0 + 12z = 80 + 4 12z = 80 + 4 Combine like terms: 80 + 4 = 84 12z = 84 Divide each side by '12'. z = 7 Simplifying z = 7
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