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