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Simplifying 7z + -4 + -3z + 11 = 5 + 2z Reorder the terms: -4 + 11 + 7z + -3z = 5 + 2z Combine like terms: -4 + 11 = 7 7 + 7z + -3z = 5 + 2z Combine like terms: 7z + -3z = 4z 7 + 4z = 5 + 2z Solving 7 + 4z = 5 + 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 + 4z + -2z = 5 + 2z + -2z Combine like terms: 4z + -2z = 2z 7 + 2z = 5 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 2z = 5 + 0 7 + 2z = 5 Add '-7' to each side of the equation. 7 + -7 + 2z = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = 5 + -7 2z = 5 + -7 Combine like terms: 5 + -7 = -2 2z = -2 Divide each side by '2'. z = -1 Simplifying z = -1
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