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Simplifying -30 + 2z = -6z + 18 Reorder the terms: -30 + 2z = 18 + -6z Solving -30 + 2z = 18 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -30 + 2z + 6z = 18 + -6z + 6z Combine like terms: 2z + 6z = 8z -30 + 8z = 18 + -6z + 6z Combine like terms: -6z + 6z = 0 -30 + 8z = 18 + 0 -30 + 8z = 18 Add '30' to each side of the equation. -30 + 30 + 8z = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 8z = 18 + 30 8z = 18 + 30 Combine like terms: 18 + 30 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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