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Simplifying 2z + 4 = 3z + -2 Reorder the terms: 4 + 2z = 3z + -2 Reorder the terms: 4 + 2z = -2 + 3z Solving 4 + 2z = -2 + 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. 4 + 2z + -3z = -2 + 3z + -3z Combine like terms: 2z + -3z = -1z 4 + -1z = -2 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + -1z = -2 + 0 4 + -1z = -2 Add '-4' to each side of the equation. 4 + -4 + -1z = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = -2 + -4 -1z = -2 + -4 Combine like terms: -2 + -4 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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