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Simplifying 4z + 8 + -1z = 9 + 2z + 7 Reorder the terms: 8 + 4z + -1z = 9 + 2z + 7 Combine like terms: 4z + -1z = 3z 8 + 3z = 9 + 2z + 7 Reorder the terms: 8 + 3z = 9 + 7 + 2z Combine like terms: 9 + 7 = 16 8 + 3z = 16 + 2z Solving 8 + 3z = 16 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 8 + 3z + -2z = 16 + 2z + -2z Combine like terms: 3z + -2z = 1z 8 + 1z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 8 + 1z = 16 + 0 8 + 1z = 16 Add '-8' to each side of the equation. 8 + -8 + 1z = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 16 + -8 1z = 16 + -8 Combine like terms: 16 + -8 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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