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Simplifying 3z + -21 = -6 + 8z Reorder the terms: -21 + 3z = -6 + 8z Solving -21 + 3z = -6 + 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. -21 + 3z + -8z = -6 + 8z + -8z Combine like terms: 3z + -8z = -5z -21 + -5z = -6 + 8z + -8z Combine like terms: 8z + -8z = 0 -21 + -5z = -6 + 0 -21 + -5z = -6 Add '21' to each side of the equation. -21 + 21 + -5z = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -5z = -6 + 21 -5z = -6 + 21 Combine like terms: -6 + 21 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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