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Simplifying 5z + -2 = 3z + 6 Reorder the terms: -2 + 5z = 3z + 6 Reorder the terms: -2 + 5z = 6 + 3z Solving -2 + 5z = 6 + 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 = 6 + 3z + -3z Combine like terms: 5z + -3z = 2z -2 + 2z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 2z = 6 + 0 -2 + 2z = 6 Add '2' to each side of the equation. -2 + 2 + 2z = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = 6 + 2 2z = 6 + 2 Combine like terms: 6 + 2 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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