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