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Simplifying 5z + 7 = 4z + 10 Reorder the terms: 7 + 5z = 4z + 10 Reorder the terms: 7 + 5z = 10 + 4z Solving 7 + 5z = 10 + 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 + 5z + -4z = 10 + 4z + -4z Combine like terms: 5z + -4z = 1z 7 + 1z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + 1z = 10 + 0 7 + 1z = 10 Add '-7' to each side of the equation. 7 + -7 + 1z = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 10 + -7 1z = 10 + -7 Combine like terms: 10 + -7 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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