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