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Simplifying 5z + 7 = 3z + -11 Reorder the terms: 7 + 5z = 3z + -11 Reorder the terms: 7 + 5z = -11 + 3z Solving 7 + 5z = -11 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7 + 5z + -3z = -11 + 3z + -3z Combine like terms: 5z + -3z = 2z 7 + 2z = -11 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 2z = -11 + 0 7 + 2z = -11 Add '-7' to each side of the equation. 7 + -7 + 2z = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = -11 + -7 2z = -11 + -7 Combine like terms: -11 + -7 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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