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