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Simplifying 4z + 3 + -2z = 5 + z + 6 Reorder the terms: 3 + 4z + -2z = 5 + z + 6 Combine like terms: 4z + -2z = 2z 3 + 2z = 5 + z + 6 Reorder the terms: 3 + 2z = 5 + 6 + z Combine like terms: 5 + 6 = 11 3 + 2z = 11 + z Solving 3 + 2z = 11 + 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. 3 + 2z + -1z = 11 + z + -1z Combine like terms: 2z + -1z = 1z 3 + 1z = 11 + z + -1z Combine like terms: z + -1z = 0 3 + 1z = 11 + 0 3 + 1z = 11 Add '-3' to each side of the equation. 3 + -3 + 1z = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 11 + -3 1z = 11 + -3 Combine like terms: 11 + -3 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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