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Simplifying 4z + 1 + -2z = 7 + z + -4 Reorder the terms: 1 + 4z + -2z = 7 + z + -4 Combine like terms: 4z + -2z = 2z 1 + 2z = 7 + z + -4 Reorder the terms: 1 + 2z = 7 + -4 + z Combine like terms: 7 + -4 = 3 1 + 2z = 3 + z Solving 1 + 2z = 3 + 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 = 3 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 3 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 3 + 0 1 + 1z = 3 Add '-1' to each side of the equation. 1 + -1 + 1z = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 3 + -1 1z = 3 + -1 Combine like terms: 3 + -1 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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