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Simplifying 4z + 7 = 31 + -4z Reorder the terms: 7 + 4z = 31 + -4z Solving 7 + 4z = 31 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 7 + 4z + 4z = 31 + -4z + 4z Combine like terms: 4z + 4z = 8z 7 + 8z = 31 + -4z + 4z Combine like terms: -4z + 4z = 0 7 + 8z = 31 + 0 7 + 8z = 31 Add '-7' to each side of the equation. 7 + -7 + 8z = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = 31 + -7 8z = 31 + -7 Combine like terms: 31 + -7 = 24 8z = 24 Divide each side by '8'. z = 3 Simplifying z = 3
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