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Simplifying 4(3z + 1) + -6 = 94 Reorder the terms: 4(1 + 3z) + -6 = 94 (1 * 4 + 3z * 4) + -6 = 94 (4 + 12z) + -6 = 94 Reorder the terms: 4 + -6 + 12z = 94 Combine like terms: 4 + -6 = -2 -2 + 12z = 94 Solving -2 + 12z = 94 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12z = 94 + 2 Combine like terms: -2 + 2 = 0 0 + 12z = 94 + 2 12z = 94 + 2 Combine like terms: 94 + 2 = 96 12z = 96 Divide each side by '12'. z = 8 Simplifying z = 8
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