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Simplifying 5z + 7 = 3z + 21 Reorder the terms: 7 + 5z = 3z + 21 Reorder the terms: 7 + 5z = 21 + 3z Solving 7 + 5z = 21 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7 + 5z + -3z = 21 + 3z + -3z Combine like terms: 5z + -3z = 2z 7 + 2z = 21 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 2z = 21 + 0 7 + 2z = 21 Add '-7' to each side of the equation. 7 + -7 + 2z = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = 21 + -7 2z = 21 + -7 Combine like terms: 21 + -7 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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