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Simplifying 9z + -10 = -3 + 2z + 7 Reorder the terms: -10 + 9z = -3 + 2z + 7 Reorder the terms: -10 + 9z = -3 + 7 + 2z Combine like terms: -3 + 7 = 4 -10 + 9z = 4 + 2z Solving -10 + 9z = 4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -10 + 9z + -2z = 4 + 2z + -2z Combine like terms: 9z + -2z = 7z -10 + 7z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + 7z = 4 + 0 -10 + 7z = 4 Add '10' to each side of the equation. -10 + 10 + 7z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7z = 4 + 10 7z = 4 + 10 Combine like terms: 4 + 10 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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