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Simplifying 3z + 21 = 5z + -13 Reorder the terms: 21 + 3z = 5z + -13 Reorder the terms: 21 + 3z = -13 + 5z Solving 21 + 3z = -13 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 21 + 3z + -5z = -13 + 5z + -5z Combine like terms: 3z + -5z = -2z 21 + -2z = -13 + 5z + -5z Combine like terms: 5z + -5z = 0 21 + -2z = -13 + 0 21 + -2z = -13 Add '-21' to each side of the equation. 21 + -21 + -2z = -13 + -21 Combine like terms: 21 + -21 = 0 0 + -2z = -13 + -21 -2z = -13 + -21 Combine like terms: -13 + -21 = -34 -2z = -34 Divide each side by '-2'. z = 17 Simplifying z = 17
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