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Simplifying 122 = z + -1 + 5z + 4z + 3 Reorder the terms: 122 = -1 + 3 + z + 5z + 4z Combine like terms: -1 + 3 = 2 122 = 2 + z + 5z + 4z Combine like terms: z + 5z = 6z 122 = 2 + 6z + 4z Combine like terms: 6z + 4z = 10z 122 = 2 + 10z Solving 122 = 2 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 122 + -10z = 2 + 10z + -10z Combine like terms: 10z + -10z = 0 122 + -10z = 2 + 0 122 + -10z = 2 Add '-122' to each side of the equation. 122 + -122 + -10z = 2 + -122 Combine like terms: 122 + -122 = 0 0 + -10z = 2 + -122 -10z = 2 + -122 Combine like terms: 2 + -122 = -120 -10z = -120 Divide each side by '-10'. z = 12 Simplifying z = 12
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