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Simplifying 3 + 5z + -1 = -4z + 3 Reorder the terms: 3 + -1 + 5z = -4z + 3 Combine like terms: 3 + -1 = 2 2 + 5z = -4z + 3 Reorder the terms: 2 + 5z = 3 + -4z Solving 2 + 5z = 3 + -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 + 5z + 4z = 3 + -4z + 4z Combine like terms: 5z + 4z = 9z 2 + 9z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 2 + 9z = 3 + 0 2 + 9z = 3 Add '-2' to each side of the equation. 2 + -2 + 9z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 3 + -2 9z = 3 + -2 Combine like terms: 3 + -2 = 1 9z = 1 Divide each side by '9'. z = 0.1111111111 Simplifying z = 0.1111111111
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