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Simplifying 7z + -18 = 10 + 3z Reorder the terms: -18 + 7z = 10 + 3z Solving -18 + 7z = 10 + 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. -18 + 7z + -3z = 10 + 3z + -3z Combine like terms: 7z + -3z = 4z -18 + 4z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 -18 + 4z = 10 + 0 -18 + 4z = 10 Add '18' to each side of the equation. -18 + 18 + 4z = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4z = 10 + 18 4z = 10 + 18 Combine like terms: 10 + 18 = 28 4z = 28 Divide each side by '4'. z = 7 Simplifying z = 7
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