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Simplifying 1 = -4z + 21 Reorder the terms: 1 = 21 + -4z Solving 1 = 21 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 1 + 4z = 21 + -4z + 4z Combine like terms: -4z + 4z = 0 1 + 4z = 21 + 0 1 + 4z = 21 Add '-1' to each side of the equation. 1 + -1 + 4z = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 4z = 21 + -1 4z = 21 + -1 Combine like terms: 21 + -1 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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