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Simplifying 6(z) + -23 = 47 + 9(z) Reorder the terms: -23 + 6z = 47 + 9(z) Solving -23 + 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. -23 + 6z + -9z = 47 + 9z + -9z Combine like terms: 6z + -9z = -3z -23 + -3z = 47 + 9z + -9z Combine like terms: 9z + -9z = 0 -23 + -3z = 47 + 0 -23 + -3z = 47 Add '23' to each side of the equation. -23 + 23 + -3z = 47 + 23 Combine like terms: -23 + 23 = 0 0 + -3z = 47 + 23 -3z = 47 + 23 Combine like terms: 47 + 23 = 70 -3z = 70 Divide each side by '-3'. z = -23.33333333 Simplifying z = -23.33333333
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