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Simplifying 6z + -20 = -47 + 9z Reorder the terms: -20 + 6z = -47 + 9z Solving -20 + 6z = -47 + 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. -20 + 6z + -9z = -47 + 9z + -9z Combine like terms: 6z + -9z = -3z -20 + -3z = -47 + 9z + -9z Combine like terms: 9z + -9z = 0 -20 + -3z = -47 + 0 -20 + -3z = -47 Add '20' to each side of the equation. -20 + 20 + -3z = -47 + 20 Combine like terms: -20 + 20 = 0 0 + -3z = -47 + 20 -3z = -47 + 20 Combine like terms: -47 + 20 = -27 -3z = -27 Divide each side by '-3'. z = 9 Simplifying z = 9
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