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Simplifying 4(z + 1) + -1 = 21 Reorder the terms: 4(1 + z) + -1 = 21 (1 * 4 + z * 4) + -1 = 21 (4 + 4z) + -1 = 21 Reorder the terms: 4 + -1 + 4z = 21 Combine like terms: 4 + -1 = 3 3 + 4z = 21 Solving 3 + 4z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4z = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = 21 + -3 4z = 21 + -3 Combine like terms: 21 + -3 = 18 4z = 18 Divide each side by '4'. z = 4.5 Simplifying z = 4.5
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