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