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Simplifying 12x + 32 = 12x + -1z Reorder the terms: 32 + 12x = 12x + -1z Add '-12x' to each side of the equation. 32 + 12x + -12x = 12x + -12x + -1z Combine like terms: 12x + -12x = 0 32 + 0 = 12x + -12x + -1z 32 = 12x + -12x + -1z Combine like terms: 12x + -12x = 0 32 = 0 + -1z 32 = -1z Solving 32 = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 32 + z = -1z + z Combine like terms: -1z + z = 0 32 + z = 0 Add '-32' to each side of the equation. 32 + -32 + z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + z = 0 + -32 z = 0 + -32 Combine like terms: 0 + -32 = -32 z = -32 Simplifying z = -32
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