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Simplifying 3z + 7 + -1z = 2 + -4z Reorder the terms: 7 + 3z + -1z = 2 + -4z Combine like terms: 3z + -1z = 2z 7 + 2z = 2 + -4z Solving 7 + 2z = 2 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 7 + 2z + 4z = 2 + -4z + 4z Combine like terms: 2z + 4z = 6z 7 + 6z = 2 + -4z + 4z Combine like terms: -4z + 4z = 0 7 + 6z = 2 + 0 7 + 6z = 2 Add '-7' to each side of the equation. 7 + -7 + 6z = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 6z = 2 + -7 6z = 2 + -7 Combine like terms: 2 + -7 = -5 6z = -5 Divide each side by '6'. z = -0.8333333333 Simplifying z = -0.8333333333
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