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Simplifying 4z + 2 = 21 + -2z Reorder the terms: 2 + 4z = 21 + -2z Solving 2 + 4z = 21 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 2 + 4z + 2z = 21 + -2z + 2z Combine like terms: 4z + 2z = 6z 2 + 6z = 21 + -2z + 2z Combine like terms: -2z + 2z = 0 2 + 6z = 21 + 0 2 + 6z = 21 Add '-2' to each side of the equation. 2 + -2 + 6z = 21 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 21 + -2 6z = 21 + -2 Combine like terms: 21 + -2 = 19 6z = 19 Divide each side by '6'. z = 3.166666667 Simplifying z = 3.166666667
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