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Simplifying 4z + 6 + -2z = 6 + z + 3 Reorder the terms: 6 + 4z + -2z = 6 + z + 3 Combine like terms: 4z + -2z = 2z 6 + 2z = 6 + z + 3 Reorder the terms: 6 + 2z = 6 + 3 + z Combine like terms: 6 + 3 = 9 6 + 2z = 9 + z Solving 6 + 2z = 9 + 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. 6 + 2z + -1z = 9 + z + -1z Combine like terms: 2z + -1z = 1z 6 + 1z = 9 + z + -1z Combine like terms: z + -1z = 0 6 + 1z = 9 + 0 6 + 1z = 9 Add '-6' to each side of the equation. 6 + -6 + 1z = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 9 + -6 1z = 9 + -6 Combine like terms: 9 + -6 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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