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Simplifying 6z + -19 = 3z + 47 Reorder the terms: -19 + 6z = 3z + 47 Reorder the terms: -19 + 6z = 47 + 3z Solving -19 + 6z = 47 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -19 + 6z + -3z = 47 + 3z + -3z Combine like terms: 6z + -3z = 3z -19 + 3z = 47 + 3z + -3z Combine like terms: 3z + -3z = 0 -19 + 3z = 47 + 0 -19 + 3z = 47 Add '19' to each side of the equation. -19 + 19 + 3z = 47 + 19 Combine like terms: -19 + 19 = 0 0 + 3z = 47 + 19 3z = 47 + 19 Combine like terms: 47 + 19 = 66 3z = 66 Divide each side by '3'. z = 22 Simplifying z = 22
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