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Simplifying 7z + -18 = -12 + 5z Reorder the terms: -18 + 7z = -12 + 5z Solving -18 + 7z = -12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -18 + 7z + -5z = -12 + 5z + -5z Combine like terms: 7z + -5z = 2z -18 + 2z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 -18 + 2z = -12 + 0 -18 + 2z = -12 Add '18' to each side of the equation. -18 + 18 + 2z = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 2z = -12 + 18 2z = -12 + 18 Combine like terms: -12 + 18 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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