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Simplifying 5 + -3z = z + 3 Reorder the terms: 5 + -3z = 3 + z Solving 5 + -3z = 3 + 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. 5 + -3z + -1z = 3 + z + -1z Combine like terms: -3z + -1z = -4z 5 + -4z = 3 + z + -1z Combine like terms: z + -1z = 0 5 + -4z = 3 + 0 5 + -4z = 3 Add '-5' to each side of the equation. 5 + -5 + -4z = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 3 + -5 -4z = 3 + -5 Combine like terms: 3 + -5 = -2 -4z = -2 Divide each side by '-4'. z = 0.5 Simplifying z = 0.5
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