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Simplifying 5z + -9 = 8z + -21 Reorder the terms: -9 + 5z = 8z + -21 Reorder the terms: -9 + 5z = -21 + 8z Solving -9 + 5z = -21 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -9 + 5z + -8z = -21 + 8z + -8z Combine like terms: 5z + -8z = -3z -9 + -3z = -21 + 8z + -8z Combine like terms: 8z + -8z = 0 -9 + -3z = -21 + 0 -9 + -3z = -21 Add '9' to each side of the equation. -9 + 9 + -3z = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -3z = -21 + 9 -3z = -21 + 9 Combine like terms: -21 + 9 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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