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Simplifying 5z + -1z + 3 = z + 3 + 1 Reorder the terms: 3 + 5z + -1z = z + 3 + 1 Combine like terms: 5z + -1z = 4z 3 + 4z = z + 3 + 1 Reorder the terms: 3 + 4z = 3 + 1 + z Combine like terms: 3 + 1 = 4 3 + 4z = 4 + z Solving 3 + 4z = 4 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3 + 4z + -1z = 4 + z + -1z Combine like terms: 4z + -1z = 3z 3 + 3z = 4 + z + -1z Combine like terms: z + -1z = 0 3 + 3z = 4 + 0 3 + 3z = 4 Add '-3' to each side of the equation. 3 + -3 + 3z = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = 4 + -3 3z = 4 + -3 Combine like terms: 4 + -3 = 1 3z = 1 Divide each side by '3'. z = 0.3333333333 Simplifying z = 0.3333333333
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