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Simplifying 4z + -21 = -16 + 9z Reorder the terms: -21 + 4z = -16 + 9z Solving -21 + 4z = -16 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -21 + 4z + -9z = -16 + 9z + -9z Combine like terms: 4z + -9z = -5z -21 + -5z = -16 + 9z + -9z Combine like terms: 9z + -9z = 0 -21 + -5z = -16 + 0 -21 + -5z = -16 Add '21' to each side of the equation. -21 + 21 + -5z = -16 + 21 Combine like terms: -21 + 21 = 0 0 + -5z = -16 + 21 -5z = -16 + 21 Combine like terms: -16 + 21 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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