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Simplifying 7z + -1 = 47 + 3z Reorder the terms: -1 + 7z = 47 + 3z Solving -1 + 7z = 47 + 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. -1 + 7z + -3z = 47 + 3z + -3z Combine like terms: 7z + -3z = 4z -1 + 4z = 47 + 3z + -3z Combine like terms: 3z + -3z = 0 -1 + 4z = 47 + 0 -1 + 4z = 47 Add '1' to each side of the equation. -1 + 1 + 4z = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = 47 + 1 4z = 47 + 1 Combine like terms: 47 + 1 = 48 4z = 48 Divide each side by '4'. z = 12 Simplifying z = 12
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