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