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Simplifying 5z + 7 + -2z = 3 + 2z + 6 Reorder the terms: 7 + 5z + -2z = 3 + 2z + 6 Combine like terms: 5z + -2z = 3z 7 + 3z = 3 + 2z + 6 Reorder the terms: 7 + 3z = 3 + 6 + 2z Combine like terms: 3 + 6 = 9 7 + 3z = 9 + 2z Solving 7 + 3z = 9 + 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. 7 + 3z + -2z = 9 + 2z + -2z Combine like terms: 3z + -2z = 1z 7 + 1z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 1z = 9 + 0 7 + 1z = 9 Add '-7' to each side of the equation. 7 + -7 + 1z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 9 + -7 1z = 9 + -7 Combine like terms: 9 + -7 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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