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Simplifying 41 + 16 = z + 12 Combine like terms: 41 + 16 = 57 57 = z + 12 Reorder the terms: 57 = 12 + z Solving 57 = 12 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 57 + -1z = 12 + z + -1z Combine like terms: z + -1z = 0 57 + -1z = 12 + 0 57 + -1z = 12 Add '-57' to each side of the equation. 57 + -57 + -1z = 12 + -57 Combine like terms: 57 + -57 = 0 0 + -1z = 12 + -57 -1z = 12 + -57 Combine like terms: 12 + -57 = -45 -1z = -45 Divide each side by '-1'. z = 45 Simplifying z = 45
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