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Simplifying 5z + -49 + 2z + 47 = 6z + 18 Reorder the terms: -49 + 47 + 5z + 2z = 6z + 18 Combine like terms: -49 + 47 = -2 -2 + 5z + 2z = 6z + 18 Combine like terms: 5z + 2z = 7z -2 + 7z = 6z + 18 Reorder the terms: -2 + 7z = 18 + 6z Solving -2 + 7z = 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. -2 + 7z + -6z = 18 + 6z + -6z Combine like terms: 7z + -6z = 1z -2 + 1z = 18 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + 1z = 18 + 0 -2 + 1z = 18 Add '2' to each side of the equation. -2 + 2 + 1z = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = 18 + 2 1z = 18 + 2 Combine like terms: 18 + 2 = 20 1z = 20 Divide each side by '1'. z = 20 Simplifying z = 20
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