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Simplifying 8z + -21 = 2z + -9 Reorder the terms: -21 + 8z = 2z + -9 Reorder the terms: -21 + 8z = -9 + 2z Solving -21 + 8z = -9 + 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. -21 + 8z + -2z = -9 + 2z + -2z Combine like terms: 8z + -2z = 6z -21 + 6z = -9 + 2z + -2z Combine like terms: 2z + -2z = 0 -21 + 6z = -9 + 0 -21 + 6z = -9 Add '21' to each side of the equation. -21 + 21 + 6z = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 6z = -9 + 21 6z = -9 + 21 Combine like terms: -9 + 21 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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