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Simplifying 7 + -2z = 4z + 31 Reorder the terms: 7 + -2z = 31 + 4z Solving 7 + -2z = 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 + -2z + -4z = 31 + 4z + -4z Combine like terms: -2z + -4z = -6z 7 + -6z = 31 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + -6z = 31 + 0 7 + -6z = 31 Add '-7' to each side of the equation. 7 + -7 + -6z = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -6z = 31 + -7 -6z = 31 + -7 Combine like terms: 31 + -7 = 24 -6z = 24 Divide each side by '-6'. z = -4 Simplifying z = -4
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