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Simplifying 3z + 1 = -1z + -2 Reorder the terms: 1 + 3z = -1z + -2 Reorder the terms: 1 + 3z = -2 + -1z Solving 1 + 3z = -2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 1 + 3z + z = -2 + -1z + z Combine like terms: 3z + z = 4z 1 + 4z = -2 + -1z + z Combine like terms: -1z + z = 0 1 + 4z = -2 + 0 1 + 4z = -2 Add '-1' to each side of the equation. 1 + -1 + 4z = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 4z = -2 + -1 4z = -2 + -1 Combine like terms: -2 + -1 = -3 4z = -3 Divide each side by '4'. z = -0.75 Simplifying z = -0.75
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