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Simplifying 4 + 3z + -2 = 9z + 9 + -5z Reorder the terms: 4 + -2 + 3z = 9z + 9 + -5z Combine like terms: 4 + -2 = 2 2 + 3z = 9z + 9 + -5z Reorder the terms: 2 + 3z = 9 + 9z + -5z Combine like terms: 9z + -5z = 4z 2 + 3z = 9 + 4z Solving 2 + 3z = 9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 3z + -4z = 9 + 4z + -4z Combine like terms: 3z + -4z = -1z 2 + -1z = 9 + 4z + -4z Combine like terms: 4z + -4z = 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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