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Simplifying 7 + 8z + -5 = 5z + 9 + 4z Reorder the terms: 7 + -5 + 8z = 5z + 9 + 4z Combine like terms: 7 + -5 = 2 2 + 8z = 5z + 9 + 4z Reorder the terms: 2 + 8z = 9 + 5z + 4z Combine like terms: 5z + 4z = 9z 2 + 8z = 9 + 9z Solving 2 + 8z = 9 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 2 + 8z + -9z = 9 + 9z + -9z Combine like terms: 8z + -9z = -1z 2 + -1z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 2 + -1z = 9 + 0 2 + -1z = 9 Add '-2' to each side of the equation. 2 + -2 + -1z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 9 + -2 -1z = 9 + -2 Combine like terms: 9 + -2 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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