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Simplifying 3.9z + -4.1 = -7.1 + 2.9z Reorder the terms: -4.1 + 3.9z = -7.1 + 2.9z Solving -4.1 + 3.9z = -7.1 + 2.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.9z' to each side of the equation. -4.1 + 3.9z + -2.9z = -7.1 + 2.9z + -2.9z Combine like terms: 3.9z + -2.9z = 1z -4.1 + 1z = -7.1 + 2.9z + -2.9z Combine like terms: 2.9z + -2.9z = 0.0 -4.1 + 1z = -7.1 + 0.0 -4.1 + 1z = -7.1 Add '4.1' to each side of the equation. -4.1 + 4.1 + 1z = -7.1 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 1z = -7.1 + 4.1 1z = -7.1 + 4.1 Combine like terms: -7.1 + 4.1 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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