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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 = 6z 2 + 5z = 3 + 6z Solving 2 + 5z = 3 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 2 + 5z + -6z = 3 + 6z + -6z Combine like terms: 5z + -6z = -1z 2 + -1z = 3 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + -1z = 3 + 0 2 + -1z = 3 Add '-2' to each side of the equation. 2 + -2 + -1z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 3 + -2 -1z = 3 + -2 Combine like terms: 3 + -2 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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