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Simplifying 5z + 2 = 3z + -4 Reorder the terms: 2 + 5z = 3z + -4 Reorder the terms: 2 + 5z = -4 + 3z Solving 2 + 5z = -4 + 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 + 5z + -3z = -4 + 3z + -3z Combine like terms: 5z + -3z = 2z 2 + 2z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 2z = -4 + 0 2 + 2z = -4 Add '-2' to each side of the equation. 2 + -2 + 2z = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 2z = -4 + -2 2z = -4 + -2 Combine like terms: -4 + -2 = -6 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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