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Simplifying 4(4z + 2) + -9 = 79 Reorder the terms: 4(2 + 4z) + -9 = 79 (2 * 4 + 4z * 4) + -9 = 79 (8 + 16z) + -9 = 79 Reorder the terms: 8 + -9 + 16z = 79 Combine like terms: 8 + -9 = -1 -1 + 16z = 79 Solving -1 + 16z = 79 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 + 16z = 79 + 1 Combine like terms: -1 + 1 = 0 0 + 16z = 79 + 1 16z = 79 + 1 Combine like terms: 79 + 1 = 80 16z = 80 Divide each side by '16'. z = 5 Simplifying z = 5
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