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Simplifying 5z + 2 + -7z + -12 = 10 Reorder the terms: 2 + -12 + 5z + -7z = 10 Combine like terms: 2 + -12 = -10 -10 + 5z + -7z = 10 Combine like terms: 5z + -7z = -2z -10 + -2z = 10 Solving -10 + -2z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2z = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2z = 10 + 10 -2z = 10 + 10 Combine like terms: 10 + 10 = 20 -2z = 20 Divide each side by '-2'. z = -10 Simplifying z = -10
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