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Simplifying 4 + 1z + 2 = 21 + -2z Reorder the terms: 4 + 2 + 1z = 21 + -2z Combine like terms: 4 + 2 = 6 6 + 1z = 21 + -2z Solving 6 + 1z = 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. 6 + 1z + 2z = 21 + -2z + 2z Combine like terms: 1z + 2z = 3z 6 + 3z = 21 + -2z + 2z Combine like terms: -2z + 2z = 0 6 + 3z = 21 + 0 6 + 3z = 21 Add '-6' to each side of the equation. 6 + -6 + 3z = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 21 + -6 3z = 21 + -6 Combine like terms: 21 + -6 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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