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Simplifying 3z + 7 = -41 + -5z Reorder the terms: 7 + 3z = -41 + -5z Solving 7 + 3z = -41 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 7 + 3z + 5z = -41 + -5z + 5z Combine like terms: 3z + 5z = 8z 7 + 8z = -41 + -5z + 5z Combine like terms: -5z + 5z = 0 7 + 8z = -41 + 0 7 + 8z = -41 Add '-7' to each side of the equation. 7 + -7 + 8z = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = -41 + -7 8z = -41 + -7 Combine like terms: -41 + -7 = -48 8z = -48 Divide each side by '8'. z = -6 Simplifying z = -6
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