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Simplifying 32 = 7z + -10 Reorder the terms: 32 = -10 + 7z Solving 32 = -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. 32 + -7z = -10 + 7z + -7z Combine like terms: 7z + -7z = 0 32 + -7z = -10 + 0 32 + -7z = -10 Add '-32' to each side of the equation. 32 + -32 + -7z = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -7z = -10 + -32 -7z = -10 + -32 Combine like terms: -10 + -32 = -42 -7z = -42 Divide each side by '-7'. z = 6 Simplifying z = 6
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