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Simplifying 5z + 1 + -3z + 5 = 12 + -4z Reorder the terms: 1 + 5 + 5z + -3z = 12 + -4z Combine like terms: 1 + 5 = 6 6 + 5z + -3z = 12 + -4z Combine like terms: 5z + -3z = 2z 6 + 2z = 12 + -4z Solving 6 + 2z = 12 + -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. 6 + 2z + 4z = 12 + -4z + 4z Combine like terms: 2z + 4z = 6z 6 + 6z = 12 + -4z + 4z Combine like terms: -4z + 4z = 0 6 + 6z = 12 + 0 6 + 6z = 12 Add '-6' to each side of the equation. 6 + -6 + 6z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6z = 12 + -6 6z = 12 + -6 Combine like terms: 12 + -6 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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