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Simplifying 3z + 2 = 4z + -1 Reorder the terms: 2 + 3z = 4z + -1 Reorder the terms: 2 + 3z = -1 + 4z Solving 2 + 3z = -1 + 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. 2 + 3z + -4z = -1 + 4z + -4z Combine like terms: 3z + -4z = -1z 2 + -1z = -1 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + -1z = -1 + 0 2 + -1z = -1 Add '-2' to each side of the equation. 2 + -2 + -1z = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = -1 + -2 -1z = -1 + -2 Combine like terms: -1 + -2 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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