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Simplifying 2z + 7 = 5z + -4z Reorder the terms: 7 + 2z = 5z + -4z Combine like terms: 5z + -4z = 1z 7 + 2z = 1z Solving 7 + 2z = 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 7 + 2z + -1z = 1z + -1z Combine like terms: 2z + -1z = 1z 7 + 1z = 1z + -1z Combine like terms: 1z + -1z = 0 7 + 1z = 0 Add '-7' to each side of the equation. 7 + -7 + 1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 0 + -7 1z = 0 + -7 Combine like terms: 0 + -7 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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