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Simplifying 13 = 12 + z Solving 13 = 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. 13 + -1z = 12 + z + -1z Combine like terms: z + -1z = 0 13 + -1z = 12 + 0 13 + -1z = 12 Add '-13' to each side of the equation. 13 + -13 + -1z = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -1z = 12 + -13 -1z = 12 + -13 Combine like terms: 12 + -13 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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