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Simplifying 7z + 3 + -5z = -12 + -3z Reorder the terms: 3 + 7z + -5z = -12 + -3z Combine like terms: 7z + -5z = 2z 3 + 2z = -12 + -3z Solving 3 + 2z = -12 + -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. 3 + 2z + 3z = -12 + -3z + 3z Combine like terms: 2z + 3z = 5z 3 + 5z = -12 + -3z + 3z Combine like terms: -3z + 3z = 0 3 + 5z = -12 + 0 3 + 5z = -12 Add '-3' to each side of the equation. 3 + -3 + 5z = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = -12 + -3 5z = -12 + -3 Combine like terms: -12 + -3 = -15 5z = -15 Divide each side by '5'. z = -3 Simplifying z = -3
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