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Simplifying 4z + 1 + -2z = 6 + z + 6 Reorder the terms: 1 + 4z + -2z = 6 + z + 6 Combine like terms: 4z + -2z = 2z 1 + 2z = 6 + z + 6 Reorder the terms: 1 + 2z = 6 + 6 + z Combine like terms: 6 + 6 = 12 1 + 2z = 12 + z Solving 1 + 2z = 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. 1 + 2z + -1z = 12 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 12 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 12 + 0 1 + 1z = 12 Add '-1' to each side of the equation. 1 + -1 + 1z = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 12 + -1 1z = 12 + -1 Combine like terms: 12 + -1 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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