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Simplifying 4z + -2 = 30 + -12z Reorder the terms: -2 + 4z = 30 + -12z Solving -2 + 4z = 30 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -2 + 4z + 12z = 30 + -12z + 12z Combine like terms: 4z + 12z = 16z -2 + 16z = 30 + -12z + 12z Combine like terms: -12z + 12z = 0 -2 + 16z = 30 + 0 -2 + 16z = 30 Add '2' to each side of the equation. -2 + 2 + 16z = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 16z = 30 + 2 16z = 30 + 2 Combine like terms: 30 + 2 = 32 16z = 32 Divide each side by '16'. z = 2 Simplifying z = 2
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