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Simplifying 12 + Z = 13 + 3Z Solving 12 + Z = 13 + 3Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-3Z' to each side of the equation. 12 + Z + -3Z = 13 + 3Z + -3Z Combine like terms: Z + -3Z = -2Z 12 + -2Z = 13 + 3Z + -3Z Combine like terms: 3Z + -3Z = 0 12 + -2Z = 13 + 0 12 + -2Z = 13 Add '-12' to each side of the equation. 12 + -12 + -2Z = 13 + -12 Combine like terms: 12 + -12 = 0 0 + -2Z = 13 + -12 -2Z = 13 + -12 Combine like terms: 13 + -12 = 1 -2Z = 1 Divide each side by '-2'. Z = -0.5 Simplifying Z = -0.5
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