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Simplifying 3z + -21 = 5z + -85 Reorder the terms: -21 + 3z = 5z + -85 Reorder the terms: -21 + 3z = -85 + 5z Solving -21 + 3z = -85 + 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 = -85 + 5z + -5z Combine like terms: 3z + -5z = -2z -21 + -2z = -85 + 5z + -5z Combine like terms: 5z + -5z = 0 -21 + -2z = -85 + 0 -21 + -2z = -85 Add '21' to each side of the equation. -21 + 21 + -2z = -85 + 21 Combine like terms: -21 + 21 = 0 0 + -2z = -85 + 21 -2z = -85 + 21 Combine like terms: -85 + 21 = -64 -2z = -64 Divide each side by '-2'. z = 32 Simplifying z = 32
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