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Simplifying 4(4z + 1) + -9 = 107 Reorder the terms: 4(1 + 4z) + -9 = 107 (1 * 4 + 4z * 4) + -9 = 107 (4 + 16z) + -9 = 107 Reorder the terms: 4 + -9 + 16z = 107 Combine like terms: 4 + -9 = -5 -5 + 16z = 107 Solving -5 + 16z = 107 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 + 16z = 107 + 5 Combine like terms: -5 + 5 = 0 0 + 16z = 107 + 5 16z = 107 + 5 Combine like terms: 107 + 5 = 112 16z = 112 Divide each side by '16'. z = 7 Simplifying z = 7
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