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Simplifying 7 + 4z + -3 = 8z + 9 + -5z Reorder the terms: 7 + -3 + 4z = 8z + 9 + -5z Combine like terms: 7 + -3 = 4 4 + 4z = 8z + 9 + -5z Reorder the terms: 4 + 4z = 9 + 8z + -5z Combine like terms: 8z + -5z = 3z 4 + 4z = 9 + 3z Solving 4 + 4z = 9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + 4z + -3z = 9 + 3z + -3z Combine like terms: 4z + -3z = 1z 4 + 1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 1z = 9 + 0 4 + 1z = 9 Add '-4' to each side of the equation. 4 + -4 + 1z = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 9 + -4 1z = 9 + -4 Combine like terms: 9 + -4 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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