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Simplifying 4z + 3z + -3 = 9z + 1 + -5z Reorder the terms: -3 + 4z + 3z = 9z + 1 + -5z Combine like terms: 4z + 3z = 7z -3 + 7z = 9z + 1 + -5z Reorder the terms: -3 + 7z = 1 + 9z + -5z Combine like terms: 9z + -5z = 4z -3 + 7z = 1 + 4z Solving -3 + 7z = 1 + 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. -3 + 7z + -4z = 1 + 4z + -4z Combine like terms: 7z + -4z = 3z -3 + 3z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 -3 + 3z = 1 + 0 -3 + 3z = 1 Add '3' to each side of the equation. -3 + 3 + 3z = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 1 + 3 3z = 1 + 3 Combine like terms: 1 + 3 = 4 3z = 4 Divide each side by '3'. z = 1.333333333 Simplifying z = 1.333333333
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