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Simplifying 7z + -23 = -3 + 3z Reorder the terms: -23 + 7z = -3 + 3z Solving -23 + 7z = -3 + 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. -23 + 7z + -3z = -3 + 3z + -3z Combine like terms: 7z + -3z = 4z -23 + 4z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -23 + 4z = -3 + 0 -23 + 4z = -3 Add '23' to each side of the equation. -23 + 23 + 4z = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 4z = -3 + 23 4z = -3 + 23 Combine like terms: -3 + 23 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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