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Simplifying 3 + 5z + -1 = 4z + 3 + 10z Reorder the terms: 3 + -1 + 5z = 4z + 3 + 10z Combine like terms: 3 + -1 = 2 2 + 5z = 4z + 3 + 10z Reorder the terms: 2 + 5z = 3 + 4z + 10z Combine like terms: 4z + 10z = 14z 2 + 5z = 3 + 14z Solving 2 + 5z = 3 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 2 + 5z + -14z = 3 + 14z + -14z Combine like terms: 5z + -14z = -9z 2 + -9z = 3 + 14z + -14z Combine like terms: 14z + -14z = 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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