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Simplifying 3 + -5z + -9 = -7z + 10 Reorder the terms: 3 + -9 + -5z = -7z + 10 Combine like terms: 3 + -9 = -6 -6 + -5z = -7z + 10 Reorder the terms: -6 + -5z = 10 + -7z Solving -6 + -5z = 10 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -6 + -5z + 7z = 10 + -7z + 7z Combine like terms: -5z + 7z = 2z -6 + 2z = 10 + -7z + 7z Combine like terms: -7z + 7z = 0 -6 + 2z = 10 + 0 -6 + 2z = 10 Add '6' to each side of the equation. -6 + 6 + 2z = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2z = 10 + 6 2z = 10 + 6 Combine like terms: 10 + 6 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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