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Simplifying 6z + -3 = 30 + 3z Reorder the terms: -3 + 6z = 30 + 3z Solving -3 + 6z = 30 + 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. -3 + 6z + -3z = 30 + 3z + -3z Combine like terms: 6z + -3z = 3z -3 + 3z = 30 + 3z + -3z Combine like terms: 3z + -3z = 0 -3 + 3z = 30 + 0 -3 + 3z = 30 Add '3' to each side of the equation. -3 + 3 + 3z = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 30 + 3 3z = 30 + 3 Combine like terms: 30 + 3 = 33 3z = 33 Divide each side by '3'. z = 11 Simplifying z = 11
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