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Simplifying 7 + -3z + 5z + -12 = 0 Reorder the terms: 7 + -12 + -3z + 5z = 0 Combine like terms: 7 + -12 = -5 -5 + -3z + 5z = 0 Combine like terms: -3z + 5z = 2z -5 + 2z = 0 Solving -5 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2z = 0 + 5 2z = 0 + 5 Combine like terms: 0 + 5 = 5 2z = 5 Divide each side by '2'. z = 2.5 Simplifying z = 2.5
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