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