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Simplifying 5z + z + -7z + -12 = 10 Reorder the terms: -12 + 5z + z + -7z = 10 Combine like terms: 5z + z = 6z -12 + 6z + -7z = 10 Combine like terms: 6z + -7z = -1z -12 + -1z = 10 Solving -12 + -1z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1z = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = 10 + 12 -1z = 10 + 12 Combine like terms: 10 + 12 = 22 -1z = 22 Divide each side by '-1'. z = -22 Simplifying z = -22
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